{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# NOx effect on kerosene\n",
    "\n",
    "mechanism: Philippe Dagaut's mechanism because it is a comprehensive detailed mechanism with NOx submechanism.\n",
    "    refrence: doi:10.1016/j.pecs.2005.10.003\n",
    "    It has 209 species and 1673 reactions\n",
    "\n",
    "surrogate of kerosene: Philippe Dagaut's kerosene surrogate\n",
    "    74% of NC10H22 , 15% of PHC3H7 and 11% of CYC9H18 by volume.\n",
    "    \n",
    "\n",
    "\n",
    "quantity of interest (QoI): ignition delay time\n",
    "\n",
    "parameters: concentration of NO and N2O. NO2 is ignored because there is no so much NO2 in combustion generated stream.\n",
    "\n",
    "Other mechanism options are possible: \n",
    "\n",
    "Other surrogate options are possible: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cantera as ct\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import numpy as np\n",
    "from time import time\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "cm2inch = 1/2.54"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## utilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_deflection_point(ts,Ts):\n",
    "    \"\"\"\n",
    "    given ts = [t1,t2,t3] and Ts = [T1, T2, T3], fit an three parameter polynomial: p(t) = a1*t**3+a2*t**2+a3*t.\n",
    "    Then the deflection point d^2p/dx^2=0 is calculated, which is t_deflection = -a2/3/a1.\n",
    "    If t_deflection is located in [0, t3], it is the deflection point we need.\n",
    "    \"\"\"\n",
    "    assert ts.shape==(3,)\n",
    "    assert Ts.shape == ts.shape\n",
    "    assert Ts[0] <= Ts[1] and Ts[1] <= Ts[2]\n",
    "    assert ts[0] <= ts[1] and ts[1] <= ts[2]\n",
    "   \n",
    "    A = np.array([ts**3,ts**2,ts]).T\n",
    "\n",
    "    try:\n",
    "        x = np.linalg.solve(A,Ts)\n",
    "        t_deflection = -x[1]/3/x[0]\n",
    "        if t_deflection<0 or t_deflection>ts[-1]:\n",
    "            Found = False\n",
    "        else:\n",
    "            Found = True\n",
    "    except:\n",
    "        Found = False\n",
    "        t_deflection = -1\n",
    "    return Found, t_deflection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_idt(T,P,phi,X_fuel,x=0,y=0,z=0,verbose=False):\n",
    "\tassert x>=0\n",
    "\tassert y>=0\n",
    "\n",
    "\n",
    "\tX_oxidizer = f\"N2:{0.79-((x+y)/2+z)}  O2:{0.21-(x+z)/2-y} NO:{x} NO2:{y} N2O:{z}\"\n",
    "\t\n",
    "\tt_max = 1e2;\n",
    "\tT_threshold=T + 200\n",
    "\t\n",
    "\tFound = False\n",
    "\tgas.TP = T,P\n",
    "\tgas.set_equivalence_ratio(phi,X_fuel,X_oxidizer)\n",
    "\n",
    "\tr = ct.IdealGasConstPressureReactor(gas)\n",
    "\n",
    "\trn = ct.ReactorNet([r])\n",
    "\n",
    "\tstates = ct.SolutionArray(gas,extra='t')\n",
    "\tidt = -1\n",
    "\t\n",
    "\twhile rn.time<t_max:\n",
    "\t\trn.step()\n",
    "\t\tstates.append(r.thermo.state, t=rn.time)\n",
    "\t\tif states.T.shape[0] <4 or states.T[-1]< T_threshold or Found:\n",
    "\t\t\tcontinue\n",
    "\t\telse:\n",
    "\t\t\tts = states.t[-3:] - states.t[-4]\n",
    "\t\t\tTs = states.T[-3:] - states.T[-4]\n",
    "\t\t\tFound, t_deflection = get_deflection_point(ts,Ts)\n",
    "\t\t\tif verbose:\n",
    "\t\t\t\tprint(rn.time,ts,Ts,Found, t_deflection)\n",
    "\t\t\tif Found:\n",
    "\t\t\t\tidt = states.t[-4] + t_deflection\n",
    "\t\t\t\tt_max = idt*2\n",
    "\t\t\telse:\n",
    "\t\t\t\tcontinue\n",
    "\treturn idt,states"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N2、NO、HCN、NH3、NO3、N2O、NO2、HNO、HONO、H2NO、N2H2、H2CN、NNH、NH2、NH、N、CN、NCO、C2N2、HOCN、HCNO、HNCO、CH3CN、CH2CN、NCN、"
     ]
    },
    {
     "data": {
      "text/plain": [
       "25"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "T,P=1200, ct.one_atm\n",
    "phi=1.0\n",
    "\n",
    "# cti_path = r\"/root/mech/Dagaut_highP.cti\"\n",
    "# cti_path = r\"gri30.xml\"\n",
    "cti_path = r\"/root/mech/Dagaut_Original.cti\"\n",
    "gas = ct.Solution(cti_path)\n",
    "\n",
    "X_fuel = \"NC10H22:0.74 PHC3H7:0.15 CYC9H18: 0.11 \"\n",
    "# X_fuel = \"CH4:1\"\n",
    "\n",
    "n = 0\n",
    "for s in gas.species():\n",
    "    if s.composition.get('N',0) > 0:\n",
    "        print(s.name,end='、')\n",
    "        n = n+1\n",
    "        \n",
    "n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## influence of NO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X[NO]=1e-06,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=47s\n",
      "X[NO]=1.93e-06,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=50s\n",
      "X[NO]=3.73e-06,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=43s\n",
      "X[NO]=7.2e-06,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=42s\n",
      "X[NO]=1.39e-05,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=50s\n",
      "X[NO]=2.68e-05,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=41s\n",
      "X[NO]=5.18e-05,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00384s,\t time cost=43s\n",
      "X[NO]=0.0001,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00385s,\t time cost=44s\n",
      "X[NO]=0.000193,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00387s,\t time cost=46s\n",
      "X[NO]=0.000373,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.0039s,\t time cost=45s\n",
      "X[NO]=0.00072,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00397s,\t time cost=48s\n",
      "X[NO]=0.00139,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00414s,\t time cost=46s\n",
      "X[NO]=0.00268,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00446s,\t time cost=45s\n",
      "X[NO]=0.00518,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00497s,\t time cost=56s\n",
      "X[NO]=0.01,\t X[NO2]=0,\t X[N2O]=0,\t idt=0.00562s,\t time cost=52s\n"
     ]
    }
   ],
   "source": [
    "y=0\n",
    "z=0\n",
    "states_x_list = []\n",
    "idt_x_list = []\n",
    "xs = np.logspace(-6,-2,15)\n",
    "for x in xs:\n",
    "    t0 = time()\n",
    "    idt,states = get_idt(T,P,phi,X_fuel,x=x,y=y,z=z)\n",
    "    states_x_list.append(states)\n",
    "    idt_x_list.append(idt)\n",
    "    print(f'X[NO]={x:.3g},\\t X[NO2]={y:.3g},\\t X[N2O]={z:.3g},\\t idt={idt:.3g}s,\\t time cost={time()-t0:.2g}s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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to90yIDe9BVVFMOpun3Mt3LEQq83KTX09Rvl9Upt/mIrvvidl8mQM0dFNHl+f7T8cITLGpPf2NG0Wbfg0Gg/UVFdhS0oitsNRfjCMY1JGOxavyadXh3jG9Gp/uuPaf0PHc+zZnF6w2Cws2r2IsZ3H0jnR+zEHb5xatAhESJ50TSAfpQ41lWb2/lRAzvB0TJE6k1PTNtGGT6PxwAd/eZraLttYZxpODSYuNEWzKf8Uk4e7hQePboJjm2HIzV4rtACsPLKSwupCJvZsephSWa2ULF5M3OjRQUkNOdm99gRWs41+FwQ/l0bTUtGGT6PxgBTFk9hxG99zKT1ioti+qxCjQbjqHDeDsXEhGCJgwCSfc32450NSolIYkzWmyeuoXLsOy9GjJF8T/N4ewN71J0hOj6V95+COQ2g0LRlt+DSaehzauwNzWi3VScJO6ckv01P4YMNhLspJIy0hyt7JaoFN70DvyyG2nde5ymvLWXZoGZd3u5wID7JEjVH25ZdIdDTxY8cG+nFcVFeYObyrhB5D0nRSi6ZNow2fRlOP7+fOw5y5lVzs+3Y9a4TjpTX8YohbbfSDK6HyJAy81udcKw6vwGwzc1n2ZT77eULZbJQtXUr8mNEYYoNXQc/bdBJlU3QfouvYato22vBpNPWIsKSS2H4/6xjDoIQYNuwpJNJoYFwftyzIHZ+CKRp6/tznXN8c+oZ20e04J+2cJq+jauNGLCdOkHBp0ySLvLFvQwHx7aJI65IQkvk0mpaKNnwajRsnjudjbmdBJZnZI10Zn5rI0u3HOb9HKvFRjoPjSsGOz6D7OIiM8zqX2WpmRf4KxnYai9HQ9AzK8mXLwWQi/qKLAvswbtisNg7vLKZL/1Qd5tS0ebTh02jc+Hr2P6ntuJP1DEMh9COCA4WV/Lxf+ulOx7fAqYPQ5wqfc609vpYycxnjOo8LaC0Vq1YRM/gcjAnBe2gnDpRRW22lcx/v+5EaTVtBGz6Nxg1jcQzR7Q6wQY2gc3QkeQdPAfDzvm5hzr3L7D97XuJzrtVHV2MymJqswgBgPXWK6i1biDvf+/nAppC/owiArN7JIZlPo2nJaMOn0bhhi4sjMfk4Ow39uTAlntX7CumRFkfHpJjTnfZ/B+17Q2JHn3PlHs1lUPtBTdbcA6hY/SMoRdz5o5o81hP5O4pp3zmemHitsK7RaMOn0ThY9+0XWNJOciQii3KiOD8xjtz9RZzfw62Qs6UWDqyEbhf6nKustoxtRdsY3nF4QGupWLUSQ1wcMQODFyWxmm0c21dKVk5K0HNpNK0Bbfg0GgfbF32Npf0etjIQgORKG5W1Vs7v7lai7Mh6MFc0avjWHV+HTdkYnhGY4atat46YoeciEU0/+1efk/nlWC02Mro3vTi2RtMa0YZPo3EQaW5HXPIRtjGUXrFR7Dxk398b2d0tIWT/94BA9mifc+UeyyXKGBXQMQZrWRk1e/YSO2RIk8d64nie/XOkd0sMyXwaTUtHGz6NxoEtJpq4hEJ2Sy/OT44nd38ROenxpMZHne6UnwtpfXxWawHYXLCZ/qn9iTQ2fU+tatMmUIqYc5puND1xfH8psUmRxKdENd5Zo2kDaMOn0QB5OzdiSTnFyYj2VBLJuQmxbMwvYUhnt30xpeDwOp8q6wBmm5ntRdvp375/QGup2rgRRIgeODCg8fU5vr+U9OxEfX5Po3GgDZ9GA6xe8A6WlEPspRcA6VahpNLMOZ3d0v+L86CyEDr5Nnx7ivdQY61hYPvADFfVxo1E9ewRkvN71RVmThVU6TCnRuOGNnwaDcBxE8akw+xTvYk3GjhVWAXAoE5uCSGH19l/NuLxbT65GYAB7ZuekamUonrzFqIHDmryWE8U5pcDkNZZlynTaJyYzvYCNJrmgDEqkZiEk+w39uechFg2558iymSgd4abwTi8Hkwx0KGfz7m2Fm4lOSqZTvGdmrwO68mTWIuKiO7Tu8ljPVF4pAKA1CwtQ6TRONEen0YDWKINRMSVk6c6MiQxlk35JQzISiLC6HaLHPkJMgZCI/JC2wu30y+1X0B7atU7dwEQlRMqw1dOVJyJ2CR9cF2jcaINn6bNs3PDaqzJxRw1ZGLBQP+4aLYfLaN/ptu+mFJwYhtk+A5fWm1W9p3aR6/kXgGtpWaXw/D1zglofH2KDpeTmhmvE1s0Gje04dO0eTZ+vARr4jHy6QJAe5uB8hoLOeluYc6yo1Bd0miYM788nxprDT1Tega0lpqdOzF16IApJfgqK0opCo9UkJrpXUFCo2mL6D0+TZvHdsQMnY+TrwYTYRBqTtUA1DV8J7bZf3bo63OuPcV7AAL2+Kp37SIqJzTeXllRNeZqK+1a4P6e2WwmPz+f6urqs70UTTMnOjqaTp06EdGEKkfa8GnaPAZJJDaumMOSQ4/YKPaesGdC5qS7GYwT2+0/03wbvt0luwHoltStyetQViu1e/eGTJGh5HglAO06Bq/efqbJz88nISGB7OxsHabVeEUpRWFhIfn5+XTr5v89F7ZQp4h0FpFlIrJdRLaKyO/rXb9XRJSItHdre0hE9ojIThG5zK19qIhsdlz7h+g7QRNCVFQ0cfHFHDZ0pk9cNDuPl5GeGEVyrFtCyIntEJ8OcaneJwJ2F++mU3yngBQZzEeOoGprieredKPpiVMn7EcyktJanuGrrq4mNVWL5mp8IyKkpqY2OTIQzj0+C/AHpVRfYCRwl4j0A7tRBC4BDjo7O65NBvoD44EXRcQpW/1PYCrQy/EYH8Z1a9oQVosFa4wFFWXjuEqkd1w0u46X1Q1zgj3U2UiYE2BvyV56Jge2v1d7wH47RHbtGtD4+pwqqMIUYWixGZ3a6Gn8IZC/k7AZPqXUUaXUesfzMmA7kOW4/BxwP6DchlwNvKWUqlFK7Qf2AMNFpCOQqJRapZRSwOvAL8K1bk3bYuuab7EmFHPY8aeZExvF3hMV9OzgFuZUCk7ugfa+995sysahskN0TQzMcNUeyAMgokvoDF9ShxhtQDSaepyRrE4RyQaGAD+KyFXAYaXUxnrdsoBDbq/zHW1Zjuf12z29z1QRWSsiawsKCkK0ek1rZue3K7DFF3Ecu6hsklWoMlvp1t4tE7KyEGrLoF13n3OdqDxBra2WzgmdA1pL7YEDSGwspg5pAY2vz6kTlSS2j2m8o8Yjhw4dolu3bhQV2dXri4uL6datG/PnzycpKYkrrrgCgLy8PESEuXPnusbefffdzJs3D7DvQ/35z3+mV69e5OTkMG7cOLZu3erqO27cOOLj41m7dq1f63r33Xfp378/BoPB7zGauoTd8IlIPPA+cA/28OcjwB89dfXQpny0N2xU6mWl1DCl1LC0tND846Fp3Zjzq7DFFnCcdABslRYAurRz2xcr2mf/meJ77+1Qmf17W+fEwAyf+cBBIrt0CYmHZrMpTp2sIqlDy9vfay507tyZadOm8eCDDwLw4IMPMnXqVLp27cqYMWP47LPPXH07dOjAnDlzqK2tbTDPCy+8wMqVK9m4cSO7du3ioYce4qqrrnLtSy1btoxhw4b5va4BAwawaNEiLrzQtyakxjthzeoUkQjsRm+BUmqRiAwEugEbHTd3J2C9iAzH7sm5/4vRCTjiaO/koV2jCRqjJYaomFMcV13IiIrgeLE9ISQ71c3jK9pv/9nOT8MXhMcXqqMMFSU12CyKpLSW7/E98fFWth0pDemc/TITmXll4+oZM2bMYOjQocyePZsVK1Ywd+5cVq5c2aBfWloaF1xwAfPnz+eOO+6oc23WrFksX76c2Fj7l5BLL72UUaNGsWDBAm677bYmr71vX897zfPmzWPx4sXU1NSwf/9+brjhBmbOnEleXh7jx49nxIgR/PTTT+Tk5PD6668TGxtLdnY2N9xwA8uWLcNsNvPyyy/z0EMPsWfPHu677z5+85vfNHl9LYFwZnUK8BqwXSn1LIBSarNSqoNSKlsplY3dqJ2rlDoGfARMFpEoEemGPYklVyl1FCgTkZGOOX8FfBiudWvaFmKKIzqmjJOGTmTHRHKwqBKjQchKcTMYxfsBgWTfe2+Hyg5hEhMd4zo2eR3KYqH28OGQJbaUFjgyOnWoMygiIiL429/+xowZM5g9ezaRkd4ThR588EGeeeYZrFarq620tJSKigp69OhRp++wYcPqhDvdGTNmDIMHD27w+Oqrrxpdb25uLgsWLGDDhg28++67rlDozp07mTp1Kps2bSIxMZEXX3zRNaZz586sWrWKMWPGcOutt/Lee++xevVq/vhHT4G51kE4Pb4LgJuBzSKywdH2sFLqM0+dlVJbReQdYBv2kOhdSinnX9A0YB4QAyxxPDSaoFGREcTElHFCOjAoJoq8wkIyk6Pr1ugs2geJWRAR7XOug6UHyYzPxGRo+m1lKSgAs5mILI/b102mvMR+CD++XcsXn/XHMwsnS5YsoWPHjmzZsoVLLrnEa79u3boxfPhw3nzzzUbnVEp5DWl///33Aa/1kksuITXVfuTmmmuuYcWKFfziF7+gc+fOXHDBBQDcdNNN/OMf/+Dee+8F4KqrrgJg4MCBlJeXk5CQQEJCAtHR0ZSUlJCcnOz5zVowYTN8SqkVeN6fc++TXe/1U8BTHvqtBZqu8aLR+MBmtWKNtkCkjUIVS3ZMJMsLK+jarl6Jr6L9jYY5we7xBRrmNB89BkBEZtO9RU+UF9v3j+KSW77hO5ts2LCBpUuXsnr1akaPHs3kyZN99n/44Ye59tprXftviYmJxMXFsW/fPrp3P50ctX79esaOHetxjjFjxlBWVtag/e9//zs///nPfb5/fWPqfO2tHSAqyv43YjAYXM+dry0Wi8/3a6noWp2aNsv+7euxxZdywpHYkh0TxYGiSrqm1ksIKc6DlOxG5ztScYSs+MA8NsuxowCYMjICGl+fiuIaomJNREbr4kyBopRi2rRpzJ49my5dunDfffe5vCRv9OnTh379+vHJJ5+42u677z5+97vfUVVlDz9/9dVXrFixghtuuMHjHN9//z0bNmxo8GjM6AEsXbqUoqIiqqqq+OCDD1xe3sGDB1m1ahUACxcuZPTo0X79Dlor2vBp2iw7fvgBW8wpTtABgDSDgZJKM51S3AyfpRYqTkCSb0+u2lLNqZpTZMQFZrhcHl/H0Hh8ZcU1xKdoby8YXnnlFbp06eIKb/72t79lx44dfPvttz7HPfLII+Tnnz6BNX36dM477zwGDhxI7969efLJJ/nwww+JiQls/3Xx4sV06tSJVatWMWHCBC67zFXkitGjR3PzzTczePBgJk2a5MoW7du3L/Pnz2fQoEEUFRUxbdq0gN67taC/DmraLKf2HcOWXUIR9j0RU60NgI5Jbnt5ZXZPjMRMn3OdqDwBQHpcekBrMR89iiEuDmNCaJTSK0pqiEv2vSep8c3UqVOZOnWq67XRaGTdunUsX76cNWvWuNqzs7PZsmWL6/U555yDzWZzvRYRZs6cycyZM0OyrokTJzJx4kSP1zp06MDzzz/foN1gMPDSSy81aM/Ly3M9v/XWW7n11ls9XmttaI9P02aRUoFou+EzArWOM3wZ7oav9LD9ZyOG73jlcQDSYwM0fMeOhmx/D+x7fNrjCw+RkZFs2bLFdYA9WMaNG8e+ffuapC6gCQ7t8WnaLAZbNJFRFRSrDDpER3Ci1J4JmZHobvgcR0YTfe/dHauwhyoDNXyWo8cwZYTG8FnNNqrKzNrwhYlRo0aF1BtatmxZSOap77E5qe+RarTHp2nDSEQMUdEVFBvS6RgVwbFT9uQDjx5fkm/D5/T4OsR2CGgt5mPHiAhVYotDT1BndGo0ntGGT9NmUaYIoqIqKTa0p2NUBEdPVZMSG0F0hPF0p9IjEJUIUb733o5XHCcxMjEgOSJlNmMtLMSUHpi3WJ/KUnvZrLgkbfg0Gk9ow6dps9giDERGVlKoEsiMiuB4aTXpifUSQkoPN7q/B3aPL9DEFoujCLKpfftGevpHVZnd8MUk6D0jjcYT2vBp2iQWsxlbVA01xkiqlImMqEiOnqqum9EJdo8vofG9t+OVxwMOc1pOngTA1N63yK2/VJWZAYhJaJk6fBpNuNGGT9MmObR7Kyqm0nWUITMqgmOnquvu74smWIwAACAASURBVAGUn/DL8BVWFZIWE5giiNXh8RnbhcbwVTo9vnjt8QVDS5clmjNnDgMGDKB///7Mnj27qR+/VaMNn6ZNsn/jOmzRFZzCXoewnclIUWUtaQluhk8pqCiAON8hSKUURdVFpESnBLQWy8lCIHQeX3WZmYhoI6ZIY+OdNV5pybJEW7Zs4ZVXXiE3N5eNGzfyySefsHv3br/fo7WjjzNo2iQn9x9CJZRRShIAkRaFUpAa5xYerC0HSzXE+fbkKswVmG1mUqMDM1zWQkeoMzV0Hl+r8vaWPAjHNod2zoyBcPn/NdqtJckSubN9+3ZGjhzpes+xY8eyePFi7r//fi666CIGDx5Mbm4upaWl/Pvf/2b48OE8/vjj7N27l8OHD3Po0CHuv/9+7rjjDpYvX87MmTNJT09nw4YNXHPNNQwcOJA5c+a4SqPVV59o7mjDp2mTmAuqsLUvoxS7lyaOqi2p8W6Gr6LA/rMRw1dUbQ+FBePxSXQ0Ehsa0djq8lq9vxcinLJE48eP58svv2xUlujyyy9nypQprrZAZYkCLVLtZMCAATzyyCMUFhYSExPDZ599VserrKioYOXKlXz33XdMmTLFdc5v06ZNrF69moqKCoYMGcKECRMA2LhxI9u3b6ddu3Z0796d22+/ndzcXObMmcPcuXNbXChVGz5Nm8RQbUAiKjhFNwyAucZetaWdu8dXYffEGgt1Og1fu+h2Aa3FUlSIKTU1JMrrAFXlZuJb0xk+PzyzcNKSZImc9O3blwceeIBLLrmE+Ph4zjnnHEym0//cX3/99QBceOGFlJaWUlJSAsDVV19NTEwMMTExjBs3jtzcXJKTkznvvPPo6Kgj26NHDy699FLALmUUqgP4ZxK9x6dpkxhsUZgiqyhTqaREmCipsGdCto93Mxguj88/wxeox2ctLsGYEthYT9RWWYiM0d9pQ4G7LNFzzz3H0aNHffZ/+OGHmTVrlqtWp7sskTvr16+nX79+HucIRojWndtuu43169fz3Xff0a5dO3r16uW61lT5ovpyRe5SRi1RukgbPk2bRIxRREZWU2ZIpX2kiaIKe1JCXY/Pv1BncXUxQMB7fLbSUoyJoSlODWCusWo5ohDQEmWJ3Dlxwl44/eDBgyxatMjl5QG8/fbbAKxYsYKkpCSSkux73R9++CHV1dUUFhayfPlyzjvvvCa9Z0tB3x2atokxgoiIKsolmdQIE4UlNYhASqwHwxfr2+MrrrEbvuSowJSqreXlIdPhA6itshIRrTM6g8WTLNG8efP8kiUaMmSI6/X06dMpLi5m4MCBGI1GMjIygpYlmj59OgUFBUyYMIHBgwfzxRdfcOTIEW6//XZXtumkSZMoLCwkIiKCF154gRS3qEJKSgqjRo1yJbc4GT58OBMmTODgwYM89thjZGZmsmvXroDW2ZzRhk/TNjGaiIiopZREekWaKKyoIiU2EqPBLdRTVQIRcRDhW96ntLaUSEMk0abAZIBsZWUYEuIDGlsfq8WG1WLTHl8IaGmyRJmZmXWOWPjaK5w0aRJPP/10g/acnBxefvnlOm0XXXQRF110kev18uXLvV5rKehQp6ZNooyCyVhLGTGkmIyUVJlJjql3BKD6FEQnNjpXRW0F8ZGBGy5reTnG+NCEOs3VVgDt8YURLUvU8tFfCzVtEpsBDCYzlSqCRJORY9UWEup7STVljRanBig3lxMXERfQOpTZjKqsDJnHV1ttTzSI1IYvbDRXWSJ/cffY3Hn88cfP6DrOJtrj07RJbCYrVoMRCwYSTUbKaywkRNf7xl1TaldmaIQKcwXxEYEZLmt5OUDIlNctZnuIzRShDZ9G4w1t+DRtjrLyUxBVTRX2A+PxJiPl1Rbio+p5fNWlfnt8gYY6VWUlAIa4wDzGBvPZFABiCM2ZQI2mNaINn6bNcWj/dmyRNS7Dl2A0UF5jId5TqNOfPT5zReChTmU3VBhC46HZHIbPoA2fRuMVbfg0bY7j+/ahTDVUYU8nTzAZKa02N/T4avz0+GrLAw514sz+C5Gdcnl8Rm34NBpvaMOnaXOUHz0GEVVUOkOdBoNjj89TcktSo/NVWiqJMQV2JgvlDE2G5lZ0enwhqn7WpmmuskSPPfYYgwYNYvDgwVx66aUcOXKkQZ+dO3fWqfqSmJjY4upphhNt+DRtDltpNRitrlBnhLIrMzTw+GorIKJxg6aUwiCB3UrK5fGFxlIpx3QG7fEFTXOVJbrvvvvYtGkTGzZs4P/9v//Hn/70pwZ9evfu7ar4sm7dOmJjYz2e/WurhO04g4h0Bl4HMgAb8LJSao6I/A24EqgF9gK/VkqVOMY8BNwGWIHfKaW+cLQPBeYBMcBnwO+Va3NEo2kaympDoVyhTqP96Bux9Q0fyq+9Nxs2JNBYpfOvOEDD2WA6hyFtTckts3JnsaNoR0jn7NOuDw8Mf6DRfs1Rligx8fS+c0VFRaPFzb/++mt69OhB165dAbQsEeE9x2cB/qCUWi8iCcA6EVkKLAUeUkpZRGQW8BDwgIj0AyYD/YFM4CsRyVFKWYF/AlOB1dgN33hgSRjXrmnN2BQiCovjz995E5jcjYXre1XjBsRXpf3GB4d2j8/pQOrkltDQXGWJHnnkEV5//XWSkpIaPQf41ltv1anTCVqWKGyGTyl1FDjqeF4mItuBLKXUl27dVgPXOp5fDbyllKoB9ovIHmC4iOQBiUqpVQAi8jrwC7Th0wSIstk9PuWK9Ivbf52dHIbPD4OmCDzUGeo9PmVtfccZ/PHMwklzlCV66qmneOqpp3j66ad5/vnneeKJJzz2q62t5aOPPmpQnkzLEp0BRCQbGAL8WO/SFE4bsCzgkNu1fEdbluN5/XZP7zNVRNaKyNqCgoLgF65pldij5Aqb0+ApDwkhLk+s8VtEKRVwqDPUe3w2pY8zhJLmLkt0ww038P7773tdz5IlSzj33HNJT0+v065licKMiMQD7wP3KKVK3dofwR4OXeBs8jBc+Whv2KjUy0qpYUqpYWlpvqVkNG0YmwJRKOeflvNHXctHnYs+UJ7/HP3DNTREyS2t0OM7WzRXWaLdu3e7+n700Uf06dPH63oWLlzYIMwJWpYorLU6RSQCu9FboJRa5NZ+C/D/gJ+5JankA53dhncCjjjaO3lo12gCw2b3+FyhTmdU071PE0KdNmULItTp3JQLkcenD7CHjOYqS/Tggw+yc+dODAYDXbt25aWXXgJoIEtUWVnJ0qVL+de//tVgDi1LFCbE/vX5NWC7UupZt/bxwAPAWKVUpduQj4A3ReRZ7MktvYBcpZRVRMpEZCT2UOmvgLloNAFiU3YfzVZvb8/gbuRU00KQgWd1+m9g/ZvO6fGFZLo2TXOVJfIW2qwvSxQbG0thYaHHvlqWKHxcANwMXCwiGxyPK4DngQRgqaPtJQCl1FbgHWAb8DlwlyOjE2Aa8CqwB/sRCJ3YogkcG4h7qNPTHl9TQp1BnOMLdXJLqEOnmoZoWaKWTzizOlfg+e77zEObc8xTwFMe2tcCA0K3Ok1bRqm6WZ1Ob62ux+f0xBo3SDZlC9jOOEuMhc7jC+l0Gg9oWaKWjw6IaNoeSuomt/jM6vQvuaW5hDo1Gk3jaMOnaXMoZcP9OINno9O0rM6gk1tCvMenI50ajXe04dO0PZTdKrhCnU5loABDncGc4wv5Hp+DgNej0bQBtOHTtDmUqneOj+BDnQGvJcQH2JvgqGo0bRZt+DRtDmlQucVDcssZy+p0vk2IPT5t+IKmucoSXXfdda5qLtnZ2QwePNjj2seNG0ffvn3p378/c+bMCfTX0CrRhk/T5lA2wf0Au9Nj83yA3Y9QJ82nSHVQVWQ0dWiuskRvv/22q5rLpEmTuOaaaxr0MZlMPPPMM2zfvp3Vq1fzwgsvsG3btqb+ClotYa3cotE0RxqGOu2Ixz0+3xbJdWA82D2+UIc6WxHH/vIXaraHVpYoqm8fMh5+uNF+zVGWyIlSinfeeYdvvvmmwbWOHTu6ikonJCTQt29fDh8+TL9+/bQsEX4aPhFJwV5NpQrIU0rZGhmi0TRbxFEBVmFA8Gbj/At1urzFAA2XOq0jFND4BvO5PouOdYaC5ipLBPaanunp6fTq1cvnZ8jLy+Onn35ixIgRrjYtS+QFEUkC7gKuByKBAiAaSBeR1cCLSqmWp0ehafPYvTS7fKy7uQmkVqfN8R0waCFanY3iFX88s3DSHGWJwHsBanfKy8uZNGkSs2fPriNg29ZliXx5fO9hV1Af41RId+JQRL9ZRLorpV4L5wI1mlAjCPb0FsEgp21cILU6T+8PBnmAPVRFpfU5vpDiLks0evRoJk+e7LP/ww8/zLXXXsuFF14I1JUl6t69u6vf+vXrGTt2rMc5/PH4LBYLixYtYt26dV7XYjabmTRpEjfeeGODfUAtS+QFpdQlSqk36hs9B/uUUvdoo6dpkSi7ArsNAwZOa9gFVKvTZbeCO8AeqtCka9Xa8AVNc5Ulcs7Rp08fOnXq5HEOpRS33XYbffv25X//938bXG/rskRe71YRedVLe2fAP19co2mOKFy1Og0iLmMRyAF2G0EaLpfHp4tUNzc8yRLt2LHDL1mi/PzT2tnTp0/nvPPOY+DAgfTu3Zsnn3wyKFkigLfeeqtBmPPIkSOuIxY//PADb7zxBt98843r6IN7FqpTlug3v/kNr7122n9xyhKNHDnSJUvUGvEV6owQkf8Cv3Ims4hIX+xFpj3r3Gs0LQJ7rU6bI0Bp8xQe9DfUGWRWpy5S3XxprrJEgOuMoDvuskSjR48+Xb7OA1qWyDu3ApXA2yJiFJFRwJfA3UqpeWdgbRpNeHAcYKfeHl9dW+FfqNMWbKgy5JaqFZ5naGZoWaKWj1ePz6GMPlVE5gDLga7AL5VSq8/Q2jSasKBctTrBbtgcquUB1uq0zxLcAfaQHz/QHl/Y0LJELR9fxxnm4vxaDP2A9cANInIDgFLqd2dkhRpNiBFwHeazhzod7YGEOl1GMzgh2lCf49NoNN7xtce31stzjaZFoxyhTqemgsfjDE0MdQa8llAXqcY5nXb5NBpv+Ap1zj+TC9FozhSixBXgFHE7zuDeyc9QZ/Dn+JyLCnVWp0aj8Yav4wwvi8gAL9fiRGSKiNwYvqVpNGFCgXILdXos89XErM7ghWgDG+5tPdrh02i84+tufRH4o4hsF5F3ReRFEfm3iHwPrAQSsFd30WhaFuKs3eKo4uLTWPh5nCHIrM7Qhya15QuW5ipL9O6779K/f38MBoPHMQcPHiQ+Pp6///3vgX70Vo+vyi0blFL/A5wHvID90PpHwO1KqXOUUnOUUjVnaJ0aTehQynGA3T27M7hQZ+BLCU9yi/b4gqe5yhINGDCARYsWucqi1WfGjBlcfvnlTfmobY5G1RmUUuUi8iPQRSm18wysSaMJL0ocskSOly7bE3itzoBDnSE+wO6iFRm+79/ZxclD5SGds33neMb8T06j/ZqjLFHfvn29Xvvggw/o3r07cXFxddrj4+O58847WbZsGSkpKbz11lukpaX5lCjav38/R48eZdeuXTz77LOsXr2aJUuWkJWVxccff9yizx02ereKyFXABuBzx+vBIvJRuBem0YQTR0le78ktfnpywaszhNjw6fMMIcUpSzRjxgxmz57dqCzRM888g9VqdbUFKkvkLDPm/vjqq698rrWiooJZs2Z5rBBTUVHBueee6yqO/cQTT9S5tnLlSl588cU6kkp79+7l008/5cMPP+Smm25i3LhxbN68mZiYGD799FOfa2nu+KPHNxMYjv0QO0qpDSKSHb4laTThRXB6fMLp3T5vQrQt6wB7a9Tj88czCyfNVZaoPjNnzmTGjBnEx8c3uGYwGLjuuusAuOmmm+qoNXiTKLr88suJiIhg4MCBWK1Wxo8fD9iliEJ5gP9s4I/hsyilTrWmG0nTtnGe4nOe4/OoztDUWp3NpUi1JqQ0V1kiT/z444+899573H///ZSUlGAwGIiOjubuu+9u0Nf977UxKSKDwUBERISrvaVKEbnjz922xVGtxSgivRwVXRoGueshIp1FZJkjK3SriPze0d5ORJaKyG7HzxS3MQ+JyB4R2Skil7m1DxWRzY5r/xBthTVBYFCnw5pyumJZUAfYA1dg19kozZXmLEvkbVxeXh55eXncc889PPzwwy6jZ7PZeO89exL+m2++yejRo13jvEkUtWb88fimA48ANcCbwBfAn/0YZwH+oJRaLyIJwDoRWYq9+PXXSqn/E5EHgQeBB0SkHzAZ6A9kAl+JSI5Sygr8E5gKrMauDjEeWOL/x9RoTqMQlChXzc5QHGA3+PUd0tMEWp2hueJJlmjevHl+yRINGTLE9Xr69OkUFxczcOBAjEYjGRkZQckSLV68mOnTp1NQUMCECRMYPHgwX3zxhc8xcXFxbN26laFDh5KUlOQydnBaosiZ3NIW8Gn4RMQIPKGUug+78fMbpdRR4KjjeZmIbAeygKuBixzd5mPfO3zA0f6W44jEfhHZAwwXkTwgUSm1yrGm14FfoA2fJkBO7+zVP8Du1umMhTpDXaRaK7CHiuYqSzRx4kQmTpzos4+ngtNPPvkkTz75ZIN2TxJF9ceXl5d7vdYS8fk11eFtDQ32TRzJMEOAH4F0h1F0GscOjm5ZwCG3YfmOtizH8/rtnt5nqoisFZG1BQUFwS5b00pRAMLpWp2O9kBCncGXLAvTOT5t+cKGliVq+fgT6vzJcXzhXaDC2aiUWuTPG4hIPPA+cI9SqtTHN1tPF5SP9oaNSr0MvAwwbNgwndet8YpwOqvT5ukIQFNrdTaXPT7/7LUmCFqiLJG7x+aON4mi1o4/hq8dUAhc7NamgEYNn4hEYDd6C9wM5XER6aiUOioiHYETjvZ8oLPb8E7AEUd7Jw/tGk1gKFdqCyLBhTqb3Tk+jUbTKP5Ubvl1IBM7Mi9fA7YrpZ51u/QRcAvwf46fH7q1vykiz2JPbukF5CqlrCJSJiIjsYdKfwXMRaMJBnFPaPEUrvTTdQr23FyIa3XqItUaTeM0avhE5D94CC0qpaZ46O7OBcDNwGYR2eBoexi7wXtHRG4DDgK/dMy3VUTeAbZhzwi9y7HHCDANmAfEYE9q0YktmiAQV6gTvHl8zq7hliUKjx6ftnwajXf8CXV+4vY8GpiIH6FGpdQKvH9d/pmXMU8BT3loXwt4lEjSaJqMY+e4fnJLUKHOQPf4wpbcotFovNHo3aaUet/tsQD4H7QR0rRkBNzzpjxnQp6hrE5dpLrZ0lxlie677z769OnDoEGDmDhxoqvE2IIFC+rU9jQYDGzYsKGR2domgXzN7AV0CfVCNJozh9PTcyS34GFfzM+kk6DVGUJepDo002iaryzRJZdcwpYtW9i0aRM5OTmuM3g33nijq8rLG2+8QXZ2NoMHDw7mV9Bq8WePr4y6t9Mx7AfONZqWi0uBXTyHB5t6gL25FKluhZZv2byXOXFgX0jn7NC1O+Nundpov+YoS3TppZe6no8cOdJVisydhQsXuopPg5Ylqo8/oc4EpVSi2yNHKfX+mVicRhMuXLJEeNnj8zfUGeSmWqj3+ILOMtXUobnLEv373//2KDr79ttv1zF8WpaoLv54fF8rpX7WWJtG07Jwz+r0YOSaeoBd7/GFDX88s3DSXGWJnnrqKUwmEzfeeGOd9h9//JHY2FgGDDidiqFlieri1fCJSDQQC7R3KCg4/y8lYj9np9G0UMQt1OnWGkitzlCVLAv1Ob6QzKZprrJE8+fP55NPPuHrr79uYEDfeuutOt6eJ7QskXfuBNYBfRw/nY8PgRfCvzSNJkw47nMFdSu31OnUtFBn4MktoS5S7UBbvqBprrJEn3/+ObNmzeKjjz5y7Rs6sdlsvPvuuw0MtJYlqotXj08pNQeYIyLTlVK6Uoqm1SAIIsrtHJ+H6ilnKtQZLlkibfmCprnKEt19993U1NS41jVy5EheeuklAL777js6depUx7sELUtUH39Kls0VkQFAP+wH2J3tr4dzYRpNuDid9xi6rM7mltyi7V7wNFdZoj179ni9dtFFF7F69WqP17Qs0WkavdtEZCb22phzgXHAX4GrwrwujSZsuPT4xIceX4s9wK5Lt4QbLUvU8vGnZNm1wDnAT0qpX4tIOvBqeJel0YQZR8kycDdxZy/UGeo9Pm33woeWJWr5+BNfqVJK2QCLiCRilxHq3sgYjabZolyn95yyRIFXbglenSG0Rao9SQtqNJq6+OPxrRWRZOAV7Fmd5UBuWFel0YQTcStZhrcqX2cm1BnyPT4n+gC7RuMVn4bPoan3tFKqBHhJRD4HEpVSm87I6jSaMCAAcvoAO56cO39rdQYbqgzxHp9WZ9BoGsfn10xlv6s/cHudp42epqXjMniuNBdPxss/g2QjNArsIdvj05ZPo2kUf+Irq0XkvLCvRKM5QwjYszrxcYDduffm5wH2ZrPHh3M6bfmCpbnKEj3++ONkZWW5ang6VSKWLl3K0KFDGThwIEOHDuWbb74Jxa+hVeKP4RuH3fjtFZFNIrJZRLTXp2nZiOs/XoRomxaCDHqPT8sSNTuaqywR2FUjnBVdnAa4ffv2fPzxx2zevJn58+dz8803B/rRWz3+JLc0LP2t0bRwBLfKLc1BiDaUyS2tzNkr+XgvtUcqQjpnZGYcyVf2aLRfc5Ql8oZ7tZj+/ftTXV1NTU0NUVFRWpaoHv7IEh0AOgMXO55X+jNOo2m2OLwrJfVLlrn18fccX7B7amEoUt3K7N5ZpbnKEj3//PMMGjSIKVOmUFxc3GCO999/nyFDhrgKTWtZorr4I0s0ExgG9Ab+A0QA/wUuCO/SNJpwUVedIaiSZUEfYA9xkWpn5e1WhD+eWThpbrJE06ZN47HHHkNEeOyxx/jDH/5Qp8bm1q1beeCBB/jyyy9dbVqWqC7+eG4TsZcoqwBQSh0BEsK5KI0mnCjHf5XzALvzQhBCtIEaLqVUSMOcdnOuCRXuskTPPfccR48e9dn/4YcfZtasWa5ane6yRO6sX7+efv36eZyjMY8vPT0do9GIwWDgjjvuIDf39LHq/Px8Jk6cyOuvv97Ay3RHyxI1Tq3jWIMCEJG48C5Jowkv4jB44njuOlLgsWSZfx6fIdDov021Og+ttdBcZYncje/ixYtdgrMlJSVMmDCBp59+mgsuqBuQ07JEdfEnueUdEfkXkCwidwBTsFdx0WhaJgJ1FNidzZ48Pj/3+AI/wG4LbWKLdvlCRnOVJbr//vvZsGEDIkJ2djb/+te/APu+3549e+qoMHz55Zd06NBByxLVwx9Zor+LyCVAKZAD/FEptTTsK9NowkidkmXBnOML+vyA972eQOfThi80NFdZojfeeMNj+6OPPsqjjz7qdZyWJTqNv181NwPfA985nms0LZs6yS2+hGjDXKvTZgtpqFMpLUIbbrQsUcvHn6zO24E/At9g/y45V0T+pJRqGz6xphXiDHGKQ57IvdVzX28EX7mF0Ca3qEajs5og0bJELR9/bpH7gCFKqVuVUrcAQ4EHGhskIv8WkRMissWtbbCIrBaRDSKyVkSGu117SET2iMhOEbnMrX2oo1rMHhH5h+haTJpgEWfJMh9CtGdKjy/kHl+oQ6caTevDH8OXD5S5vS4DDvkxbh4wvl7bX4EnlFKDsXuRfwUQkX7AZKC/Y8yLImJ0jPknMBXo5XjUn1OjaRriPMeHU4vd9dyFvzU0g9bjC7GhCq0d1WhaJf5kdR4GfhSRD7Hf5lcDuSLyvwBKqWc9DVJKfSci2fWbgUTH8yTgiOP51cBbSqkaYL+I7AGGi0gedhmkVQAi8jrwC2CJX59Oo/GCYK/cAt6qr/iXtBK8Hl8YPD6DtnwajS/8MXx7HQ8nHzp+BnKI/R7gCxH5O3Zvc5SjPQtY7dYv39Fmdjyv3+4REZmK3TukS5cuASxP0zZQLj0+95BHIEWqbcFWXrGF+AC7TWd1ajSN4U+tzid8PZr4ftOAGUqpzsAM4DVHu6db1duJJK9fxZVSLyulhimlhqWlpTVxaZq2g/PPXrzLEvl7ji/okmWhDXXaC8FoyxcKmqss0bvvvkv//v0xGAx+j2mM/fv3M2LECHr16sV1113nUplYsGABgwYNYtCgQYwaNYqNGzeG5P3ONo0aPhEZJiKLRWS9Q5ZoUxCyRLcAixzP3wWcyS352AthO+mEPQya73hev12jCQoRN3UGT0K0fp7jc80XTK3OEIc69SZfaGiuskQDBgxg0aJFXHjhhU3+TPPmzfN4Du+BBx5gxowZ7N69m5SUFF57ze6TdOvWjW+//ZZNmzbx2GOP1TnX2JLxJ9S5AHtm52bA1kjfxjgCjAWWAxcDux3tHwFvisizQCb2JJZcpZRVRMpEZCTwI/ArYG6DWTWaJtNYkWo/z/E1t1qdrdDuLVmyhGPHjoV0zoyMDC6/vHHFteYoS9S3b1+P7VarlQcffJDly5dTU1PDXXfdxZ133tnofEopvvnmG1dx7VtuuYXHH3+cadOmMWrUKFe/kSNHkp9v33nKy8tj/PjxjBgxgp9++omcnBxef/11YmNjyc7O5rrrrnMd03jzzTfp2bMnt956KzExMezYsYMDBw7wn//8h/nz57Nq1SpGjBjh8pDPBP7ccQVKqY+UUvuVUgecj8YGichCYBXQW0TyReQ24A7gGRHZCPwFx36cUmor8A6wDfgcuEsp5dT2mAa8CuzBvteoE1s0weGSIxIM4pbVGUiR6lDo8enjDM2W5ipL5InXXnuNpKQk1qxZw5o1a3jllVfYv39/o5+xsLCQ5ORkTCa7H9SpUycOHz7scX73Lws7d+5k6tSpbNq0icTERF588UXXtcTERHJzc7n77ru55557XO3FxcV88803PPfcc1x55ZXMmDGDrVu3snnzZjZs2NDoWkOFPx7fTBF5Ffgax4FJdQAAIABJREFUqHE2KqUWeR8CSqnrvVwa6qX/U8BTHtrXAgP8WKdG4x9CneQWj0K0Z1KPL4R7cq3R4/PHMwsnzU2WyBtffvklmzZtchWjPnXqFLt37yYxMZGf/exnABQVFVFbW8sHH3wA2MufZWRkNJir/tqWLVvGa6+9xooVK1xtnTt3dhXDvummm/jHP/7hKuLtlDq6/vrrmTFjhmvMlVdeiYgwcOBA0tPTGThwIGAXzs3Ly2Pw4MEBffam4o/h+zXQB7sOnzPUqTi9V6fRtEAUCoNDlsiTEG3T9PgCVmdQttCWGLNpjy+UuMsSjR49msmTJ/vs//DDD3Pttde69t/cZYm6d+/u6ucUhPXEmDFjKCsra9D+97//3aXQ4AmlFHPnzuWyyy5rcM3pTc2bN4+8vLw6+3xKKUpKSrBYLJhMJvLz88nMzHRd37RpE7fffjtLliwhNTXV1e5NzsjXc3epI+dz5+szKXXkz916jiNT8hal1K8djymND9Nomi8iYBPBgLicu7q0TD0+m1K6ZFmIaK6yRN647LLL+Oc//4nZbAZg165dVFRUNPo5RYRx48a5PMX58+dz9dVXA3Dw4EGuueYa3njjDXJycuqMO3jwIKtWrQJg4cKFHqWO3n77bc4///xG13Cm8cfjWy0i/ZRS28K+Go3mDKBcuZwGjG72KpBzfCHZ4wvpOT5aX6zzLNFcZYkWL17M9OnTKSgoYMKECQwePJgvvviC22+/nby8PM4991yUUqSlpblCmo0xa9YsJk+ezKOPPsqQIUNcSTd/+tOfKCws5Le//S0AJpPJdYSib9++zJ8/nzvvvJNevXoxbdo013w1NTWMGDECm83GwoULA/qcYUUp5fMBbAdqgZ3AJuzZnZsaG3e2H0OHDlUajSfemf6s+uCDYerC5Z+q637ao/7x1S7V9YFPVK3FerpT7itKzUxUqvSYz7m+zPtSDZg3QO0o3BHQWg4/8KDaNW5cQGM98cUrm9V//7gqZPOdLbZt23a2l+CVZcuWqQkTJoR0zrFjx6o1a9aEdM5wsn//ftW/f3+P17p27aoKCgrO6Ho8/b0Aa5UX++CPx6drY2paF2Kv3GJzHGC3OZw7o0dZojAL0SqFhDA22RqTW5ob7rJE7mf5AkXLEp15/BGiPSAio4FeSqn/iEgaEB/+pWk04cJemtqe1SlYlafklqaVLDO6aqo3jXDU6tSWL7y0RFmiUFNffNedUP5uwoU/lVtmYpchesjRFAH8N5yL0mjCiQLHcQYDBgGbTWGQ+l6bf8ktVsdxU0OgXls49Pi03dNofOLPHTcRuAqoAFBKHSGwAtUaTfPAYRhsiN3wKYWhvrU4Qx6fXY8vsKGeUPo4g0bTKP4YvlrHRqH9i7JIXHiXpNGEG3HV6jQ6Qp0NCjv7eY4veI8vDHt8+jiDRuMTf26Rd0TkX0CyiNwBfAW8Et5laTThx+Y8wK7qJbYA2ByHaQ2+t8GD3uOz2UIc6tQen0bTGP7ccWnAe8D7QG/syumdfI7QaJoz4lRnwJ7c4tjjq4OzVGwjBi1oj89qRYwBhkk9EOJcmTZNS5clmjNnDgMGDKB///7Mnj27qR/fI/Pnz6dXr1706tWL+fPnu9pvvPFGevfuzYABA5gyZYrrEH1zxZ+79RKl1FKl1H1KqXuVUkuBs1s8T6MJmtPJLVabh1CnzWH4DL6Nks3m8Pga6ed1FVYrmPw5VeTvhDq7JVS0ZFmiLVu28Morr5Cbm8vGjRv55JNP2L17t9f+9bnooosaZGcWFRXxxBNP8OOPP5Kbm8sTTzxBcXExYDd8O3bsYPPmzVRVVfHqq6/6/V5nA693nIhMA34LdK+nv5cA/BDuhWk04cNuGGyuItUKo7c9vkZCncF6fMpqCanHZ/NkxFs4u3Y9SVn59pDOmRDfl5ycxxrt15JkidzZvn07I0eOdL3n2LFjWbx4Mffffz979+7lrrvuoqCggNjYWF555RX69Onz/9s77/Coq+z/v+60ZNITAqEESOgJBEIHKQKKgKDogl9hdcWyouKya/mtYkFZXWRRsPdVaauAKCgCCkhZV6RGeihSAmlAek+m3d8fMxknYVIZYEju63nm4TN37ufOvUMmJ+fcc8+7xjHXr1/PyJEjCQsLA2DkyJH88MMPTJ482en9AvTr188pXzRr1ixOnjxJamoqycnJPPXUUzz44INs3bqVF154gSZNmnDs2DGGDh3K+++/j0ajISAggEcffZQff/yR0NBQXnnlFZ566inOnj3Lm2++ya233lrnz6wy1X2rv8AuATQHmOHSXiClzL7kd1YorhZCIhwH2DXCkdxS1R5fDQbtkrM6LZ4NddqsEo22YRm+q0m5LNHo0aPZsGFDjbJEY8aM4f77fy9lXF9ZovoUqXalW7duPPfcc2RlZWE0Glm3bp3Tq5w6dSoffvghHTt2ZOfOnUybNo3NmzfXOGZqaiqtW/+uF+5OvshsNrNkyRLeeustZ9uBAwfYsWMHRUVF9OzZk7FjxwKwa9cuEhMTadu2LaNHj2blypVMnDiRoqIihg0bxty5c7n99tt5/vnn2bhxI4mJiUyZMuXyGj4pZR6QB1QlL6RQXKOU1+oUjlAnbgyf1W70LnNWp6dDnTarDZ3Bc4bUG6iNZ3Y5uVZkiVyJiYnh6aefZuTIkQQEBNCjRw90Oh2FhYX88ssv3HHHHc6+ZWV2tbkFCxY4DdaJEye4+eabMRgMREdHs2rVqt8luFyovIZp06YxdOhQhgwZ4mwbP348RqMRo9HI8OHD2bVrFyEhIfTr18+pWDF58mR+/vlnJk6ciMFgYPRoe8GwuLg4fHx80Ov1xMXFeexwvAc3FxSKawMJDjmicnWGKpJbauHFXbrH59lQp9UiMRjVeQZPcS3JElXmgQcecIZSn332WSIjI7HZbISEhLgVfb3vvvu47777APse38KFC4mKinK+HhkZydatW53PU1JSGDZsmPP5P/7xDzIyMvjoo48qjFuVfFFV7Xq93nntKl/kSeki9Q1RNFKk8wC71eZmj89mrXF/Dzzj8QmdZ0OdWp0KdXoCeY3JElXmwoULgF0+aOXKlUyePJmgoCCio6NZsWKFc4379++v1XijRo1iw4YN5OTkkJOTw4YNG5zaf5988gnr169n6dKlaCodz/n2228pLS0lKyuLrVu30rdvX8Ae6jx9+jQ2m43ly5dXkDW63CjDp2h8lB9nkPbkFpusItRZi0xNqyP7s97n+KxW0Ho21Kn2+DyDO1mio0eP1kqWqDy5A+yyRH379iUuLo7OnTvz8ssvX7IsUWRkJNu3b2fs2LFO45OWllYhyWTChAnExsZyyy238N577xEaGgrA559/zqeffkqPHj3o2rUr3377ba3eNywsjJkzZ9K3b1/69u3LCy+84Ex0efjhhzl//jwDBw4kPj6el156yXlfv379GDt2LAMGDGDmzJlOkduBAwcyY8YMunXrRnR0NLfffnu9Po/6oEKdikaIQAgbUtiTWyxSXnyGvI6hznqf4/NwqNOe3KL+nvUEU6dOZerUqc7nWq2WhIQEtm7dyu7du53tlQs29+jRw3nMBewhvBdffJEXX3zRI/O6/fbb3RqJli1bVjhiUdVeYXR0ND/88EO17+Ea0nTl/vvvr5C8U051IchOnTrx8ccfX9Tu5+fnFKx1pbCw0HntqhRf+bVLQX1DFI0O6fD4bFKDwBHqdOvx1fz18Exyi8rqvJZwlSXyBEqW6MqjPD5F40OAEDasCHRC2ItUX3SOr3Z7fDZpQyu09S4TZj/Hp0Kd1xJKlqj2VPbYyhk2bFiFxJgrjfL4FI0O6Qh1WtCgLzd87s7x1SLUaZXW+oc5wfPn+Gwq1KlQ1IT6higaH0Ki0UisUqDTiCpCnbZaJbeUe3z1RYU6FYorjzJ8ikaHFPaDuOUen8Uq0Vc+AlDL5BaT1YReW/+9GU+HOq3K8CkUNaIMn6LxobFhQ2Bz7PGZrDZ0lRNZapncYraZ0WsuISnBbPHwOT4bWmX4FIpqUYZP0fjQ2LBiNzZ6ITBbbRgq74tZTaCtui5jOSarCUMt+lWFzWRCGHzqfb8r0iaxWSRafcMqWXa18FZZopkzZ9K9e3fi4+O56aabSEtLu6jPsWPHiI+Pdz6CgoI8Ik3UmGSJ6oUQ4jMhxAUhxKFK7dOFEMeEEIeFEK+6tD8jhDjheG2US3tvIcRBx2tvC6WyqbgEpM2GFDYsjoRmvaaKUKfVBNqaDdKlenyyrAzh6xnDZzHbz47p9OrvWU/grbJEf//73zlw4AD79u1j3LhxFQ6Ll9O5c2dnxZeEhAT8/PzqdEC80coSeYCFwLvA4vIGIcRwYDzQXUpZJoRo5miPBSYBXYGWwI9CiE5SSivwATAV2AGsA0ZjV41QKOqMyWICjRVrueFzeHwBvpW+CpYyqMXendlmxqCpn8cnpUSWlaHx8ZDhM9nPFDa0ItUzf0vhUGGJR8fsFmDk5Y4162l7oyxRUFCQ87qoqKjGozSbNm2iffv2tG3bFkDJEnEZDZ+U8ichRFSl5keAf0kpyxx9LjjaxwPLHO2nhRAngH5CiCQgSEq5HUAIsRi4DWX4FPWkpLQYKaQz1KnTCExWid5dqFNXC4/Paq5/covZDFJ6LNTp9PgMyuPzFN4qS/Tcc8+xePFigoODazwHuGzZMiZP/l1kR8kSXfkD7J2AIUKI2UAp8P+klLuBVtg9unJSHG1mx3XldrcIIaZi9w5p06aNZ2euaBCUlhYiNDYsNe3xWcpAX3MtRZPNVG+Pz+YIiwkPe3z6Bubx1cYzu5x4oyzR7NmzmT17NnPmzOHdd9/lH//4h9t+JpOJ1atXM2fOHAAlS+TgShs+HRAKDAD6Al8KIdpRLoldEVlNu1uklB8DHwP06dOnyn6KxktpcSFSY3OGOnUCzFYbusqZkFYTGENqHM9sM6OrRYUXd0jHLxzhU//kGFcsJuXxeRpvlyX64x//yNixY6s0fN9//z29evUiIiICQMkSObjS35AUYKW0swuwAeGO9tYu/SKBNEd7pJt2haJelOTnOfb4XDw+i819qPMyZ3WWGz5P7fGZy/f4VFanR/BWWaLffvvN2Xf16tXV7s8tXbq0QphTyRLZudKG7xtgBIAQohNgADKB1cAkIYSPECIa6AjsklKmAwVCiAGObM57gNppaCgUbijJyUNqLL97fFXt8VnKarfHdwlZnbZyj89De3xW5fF5FG+VJSqX8unevTsbNmxwhicryxIVFxezceNG/vCHP1S4X8kSXcZQpxBiKTAMCBdCpAAvAp8BnzmOOJiAKdIeOD4shPgSSAQswKOOjE6wJ8QsBIzYk1pUYoui3hTlZIPWghm7sfIRGiw2GwZ3oc5aHGe4JI+vfI/PQ8cZzA00q/Nq4a2yRF9//bXb9sqyRH5+fmRlZV3UT8kSXd6szslVvHR3Ff1nA7PdtO8BunlwaopGTFFOLlJnxoTdWPlpNZjchTotZaCr2aCVWEow6ur3l7t0hL48Fuostf/y0fsqw3c5cZUlcjU09UXJEl15lCyRolFRnJ8PGgtl2I2Nr0ZQYrZirOwlWctq5fGVWErw0/nVay7WwiIANAGB9bq/MqXFdsPn66d+gV5OlCxR7VGyRAqFF2AuKsGmNWNyGD5hk0jJxYbPXFKr4wzF5mL89PUzfDZH2EYT4F+v+ytjKrEbPoNReXwKRXUow6doVNiKzaD5PdQprPZTL36umZAWk32Pzyeg2rGsNiul1tJ6e3y2Irvh0wZU/z61pazIgt5Xq/T4FIoaUN8QRaPCZrKCxuT0+LA4DJ/BJepvcmygG6o3SKVWe63FS/f4PGT4Ssz4GNXuhUJRE8rwKRoXJpBaC2UOj086PL4Koc5aGr5ic7H93nomt1gLHIbP3zOhzrJiCz5qf0+hqBFl+BSNCmHBEeq0e3w2iz3t3K+C4bMnnWCo3iAVW+yG71I8PuHnh9B6Zk/ObviUx+cpvFWW6M4773TKDUVFRREfH+927sOHDycmJoauXbtWqJ15KShZIoXiGkRYtAityZnVaXUYvgoeX5nD4/OpPtuyyGw3kPX1+GxFhWg95O0BFOebMAZ6pvyZwntliZYvX+6s5jJhwoSLDqgD6HQ65s+fz5EjR9ixYwfvvfceiYmJtX4PJUukUDQgtFKPVmeiVAbgp9NQYrYf+na/x1e9Uco35QMQZAiqtl9VWHJy0IaG1utedxTlldEmNsxj43kL//juMIlp+R4dM7ZlEC/e0rXGft4oS1SOlJIvv/zSrbJCixYtaNGiBQCBgYHExMSQmppKbGyskiVCGT5Fo0OLVmeimGBCdFoKy+xHAAJ86r7Hl1uWC0CoT/2MlzUzC20Tzxgqc5kVc6kVv2Dl8XkSb5UlAntNz4iICDp27FjtGpKSkti7dy/9+/cHlCwRKMOnaGxo9ei0Zoo1gQTptOQW2/ciQvxcfqGV2A1aTeoMuaX2fiG+Nas4uMOSnY0xLq5e91amKM9e99M/2DNVYLyJ2nhmlxNvlCWCiwtQu6OwsJAJEybw5ptvEhQUpGSJHCjDp2hcaLRodWaKRSAhOi25+XbDF2x0yYYsdtQ39GtS7VDlHl+wT3C9pmLN8pzHV5xn31tqiIbvauKtskQWi4WVK1eSkJBQ5VzMZjMTJkzgrrvucu4DKlkiOyq5RdG40GjR6UwU42/3+EpMBPjoKtbqLM4CnS/UkK2ZV5ZHgD6gXuoMttJSbEVF6MKqN661pTDXcaYwRIU6PYW3yhKVj9GlSxciI92L9EopeeCBB4iJieGJJ55wtitZIjvK8CkaF1otWq2ZIowE6bTkFZsrensAxdl2b6+KUFQ5OWU5hPjUL8xpdVTN95THl59h/6UaFF6/DFPFxXirLBHAsmXLLgpzusoSbdu2jSVLlrB582bn0YfyLFQlS6RCnYpGhk2rQa8vowgfQvRa0krMhPpXNnxZ4FezQcouySbMt36Gy5yeDoC+Rct63V+ZvAsl+If4oFeSRB7DW2WJAOcZQVdcZYkGDx7sdk8OlCwRKI9P0ciw6a1InaRIGgjV6cgpNrnx+LJq3N8DOFd8jgj/iHrNw+zIhtO38pDhyywhuKny9q4ErrJEnkDJEl15lMenaDTk5lxAGovIxX78IMJHz4X8MvpGVTqOUHQBQqo/UCyl5FzROQa1HFSvuZjKDV9Lz3l8bbt5Zr9QUT1Klqj2KFkiheIqcyxhBzbfInKx78s11Wu5UFBKRLDv751sNshLhWD3SQPl5JvyKbGU0Ny/eb3mYk5LQ9s03CMitKVFZorzTYRE1K90mkLR2FCGT9FoSDtyFJuh0OnxGa1gtkqaB7kYvqILYDPXaPjOF58HqH+oMzkFQ8tW9bq3Mlkp9n2P8NaeUXlQKBo6yvApGg0lqTlInwKn4aPUXq6sguHLc1SiqMHwnSs6Z7/Xr34eX9mpkxgqVfOoL5nlhi/SM0ruCkVDRxk+RaNB5AO+eeQQhobfFcsrhDrzku3/BlXvjZ3OOw1AVFBUnedhycnBmpGJT4cOdb7XHZnJBfgFG/ALUmf4FIraoAyfotGgsRrx8S0gQ7ampa+e9Fz72bdWIS7ZkOWGrwaP73TeaUJ9QutVrqzst98A8KmhxmJtOZ+UT9M2ytvzNN4qS7RixQq6du2KRqOp8R6r1UrPnj0ZN25cXZZeJVXJEj3wwAP06NGD7t27M3HiRI8dO7hcKMOnaDQIvREf30IyNK2INvpwKrMIP4OWZoEuCSYZx+xHGWo4x3c67zTRwdH1mofT8HW6dMNXnG8i51wxLTvU7yC9omq8VZaoW7durFy50lkWrTreeustYmJiaj12OXWVJXrjjTfYv38/Bw4coE2bNrz77rt1fs8riTrOoGg0SL0eo28h50U4A40+nM7MJjrcv2LNwMzfILxzjWMl5ScxvPXwes2j9HAi2pAQdM2a1et+V9JP2uuFtuzYgA3f9zPg3EHPjtk8Dsb8q8Zu3ihLVFtDlpKSwtq1a3nuued4/fXXne2XQ5YoKMguzSWlpKSkxPmd8lZZIuXxKRoNVh8bZh9BvvSlrdGHpMwiosNdNPekhMxj0LRTteNklmSSXZpNu+B21faripK9ezHGx1dZnb8upB3PRafXqFDnZaJclujxxx/nzTffrFGWaP78+VitVmdbfWWJysuMuT5+/PHHOs39scce49VXX72odubUqVN55513SEhIYN68eUybNq1W49UkS3TffffRvHlzjh49yvTp053tBw4cYO3atWzfvp2XXnqJtLQ0wF6rc/78+Rw8eJCTJ0+ycuVKAKcsUUJCAoGBgU5ZolWrVvHCCy/U6TOoCuXxKRoFpw//ii04i3PYxTlbG3Qk55RwSw+XA+RFmVCSU6PHdyjTXp6qW3i3Os/DmpuL6fRpgm+7rc73uuNsYjYtOoag1TXgv2Fr4ZldTrxVlqg61qxZQ7Nmzejdu3eF8mOXU5ZowYIFWK1Wpk+fzvLly51KD94oS9SAvy0Kxe/s+XYt1qDznCUKAGOxFatN0rm5i6d0zlGlPiK22rEOZR5CIzR0Cas5PFSZEkclfGN8fJ3vrUzOuSJyzxcT3T38ksdSuMdVluiNN94g3VFjtSqeffZZ5s6d66zV6SpL5Mqvv/5KbKz7nzNPeHzbtm1j9erVREVFMWnSJDZv3szdd99dQZao/HHkyBHA7rGVt/Xp04d169axb98+Vq1aBdg9vOTkZOd7pKSkOAtOl6PVarnzzjv5+uuvnW2NSpZICPGZEOKCEOKQm9f+nxBCCiHCXdqeEUKcEEIcE0KMcmnvLYQ46HjtbeGJ+JCi0WFNLkEEnOeMbEeAVkNmpj2js1tLFy291F8BAS17VjvWocxDdAjpgF8NskXuKPrlF4TBgLH7pQvQnt6fCUCUMnyXBW+WJaqJOXPmkJKSQlJSEsuWLWPEiBH85z//uSyyRFJKTpw44Rzvu+++q7Bn2NhkiRYCoys3CiFaAyOBsy5tscAkoKvjnveFEOVl5j8ApgIdHY+LxlQoakIjAvELyOGs6EzXACOH0/II9NXRtomL8UpNgPBO4Fu1sKzFZmF/xn7iwutnuAp/+h9+/fqhuQRJmnJO/nqBpm0CCQzzrbmzos54qyzRqlWriIyMZPv27YwdO9apiecqS1QdnpYlklIyZcoU4uLiiIuLIz09vcJenDfKEiGlvGwPIAo4VKntK6AHkASEO9qeAZ5x6bMeGAi0AI66tE8GPqrNe/fu3VsqFOUse/x1ufaHWBm1eZd85liyvPXdn+WdH/3yewebTcpXO0i58uFqx9l3YZ/strCb/P7093WeQ1lyskzs3EVmLVpU53srk5lSIN99aJPc9+PZSx7LG0lMTLzaU6iSLVu2yLFjx3p0zOuvv17u3r3bo2N6Ay+++KJ87bXXLmr39Gfo7ucF2COrsA9XdI9PCHErkCqlrOxbtwKSXZ6nONpaOa4rt1c1/lQhxB4hxJ6MjAwPzVpxrZN5LhlLaB7p+haUoCfO6Mvh1Dx6tXFRZcg8bq/T2aZ/tWPtSNuBQNC/efX93FG4eTMAAbU4f1UTR7ano9EKOvWvX61QRf1RskTXPlcsq1MI4Qc8B9zk7mU3bbKadrdIKT8GPgbo06dPlf0UjYutny3AEn6GI9iTCQy5Jiw2ycD2LjI+J+1GiXbVn837Je0XuoR1IdQ3tNp+7sj7bg0+sTEYoqLqfK8rFpOVYzvOEdU9HGOAKlN2pVGyRLVHyRJBeyAa2C+ESAIigV+FEM2xe3KtXfpGAmmO9kg37QpFrbGctaALTuWojKONr4HjKXnotYI+bV2qs5zcDGHtIbRtleNklmSy98JehrUeVuc5mJKSKD14kOBxt9RjBRU5uj2d0kIzPUZUX1ZNoVC454oZPinlQSllMylllJQyCrtR6yWlPAesBiYJIXyEENHYk1h2SSnTgQIhxABHNuc9QO12YhUKB8I3mKDQcxzVxDEwJICff8ukZ+tQjAZH/pSpGJJ+hvYjqh1n45mNSCQ3tXUXtKie3G++ASEIGntp4TGbTbL3x2QiooNoocqUKRT14nIeZ1gKbAc6CyFShBBV1uaRUh4GvgQSgR+AR6WU5eUPHgE+AU4AJ4HvL9ecFQ2PsyePYonIJsknikJ86aUzcDgtnxtjXcqF/bYezMUQW30ppPVJ62kf3J4OoXVTVbCVlZH75QoChg9HH3Fpe3LHdpwjP6OEnje18UjlF4WiMXLZ9viklJNreD2q0vPZwGw3/fYAdS+RoVAA//tgEZaYEyTQFx8BhWn2qvGjurro6B1eBf7NoO2gKsdJyksi4XwCf+351zrPIX/NWqzZ2YTd86c63+uK2WRl5+pTNIsKol1800saS6FozKjKLYoGja40hKCmSSQwiMGhQWw6fJ6YFkG0beKo0VmaB8c3QOx40GirHOfL41+iEzpu71i3s0bSaiVrwWf4dOyIX/+6Z4K6sv/HsxTlljFoQgfl7V0BvFWW6O9//ztdunShe/fu3H777eTm5l7U59ixYxWqvgQFBfHmm2/W96NwomSJFAov53zyaSzNi0gNaE6GCGOg3sCvZ3MZH+9SZmnfUrCUQM+7qhyn2FzMtye+5Ya2NxBurFuVlPy1azGdOEn4tEcuyVjlnCtiz7oztO/VrGErMXgR3ipLNHLkSA4dOsSBAwfo1KkTc+bMuahP586dnRVfEhIS8PPzq9MBcSVLpFBco/w4/2Ns8Yn8V44gQCfIOJmHTiOY0MuRDSkl7P4EWvWptkzZiuMryDflc1dM1cbRHdJkIuPd9/CJiSFw1Kiab6gCm02yefFRdD4ahk6qXjmiITJ311yOZh/16JhdwrrwdL+na+znjbJEN930e3LVgAED+Oqrr6rtv2nTJtq3b0/btvaMZSVLpDw+RQNGq2mCX/M0dmkGcWuTEFbvTWVkbATWuyr+AAAgAElEQVRNy4VnT26CrN+g75+rHKPEUsKCQwvo36I/PZtVX8OzMlkLF2E+e5ZmTzyO0NT/q7ZnXRLnTuUx5I6O+AWpc3tXEm+XJfrss88YM2ZMtWtYtmwZkyf/nnKhZImUx6dooKz/5H3M7Y/yi+F6yjDQ9HwZOcVm7r0uyt5BStg6F4IioduEKsdZdnQZWaVZzO8xv07vb0pJIfP99wkcOZKAIUPqvY6zh7PYvfY0nQc0p1P/5jXf0ACpjWd2OfFWWaLZs2ej0+m4666qIxEmk4nVq1c7w6FKlsiOMnyKBknuvnyMNx1iPXMZGhTA6g1n6BsVSv92jmotJzdByi4Y9wbo3P8Vn1GcwYf7P2Ro5FB6R/Su9XtLm43052ciNBoinnu23mvIOVfEhs8O06SlP9f/sbNKaLkKuMoSDR48mEmTJlXb/9lnn2XixIkMdZSlc5UlKv8lD3ZZouuvv97tGEOGDKGgoOCi9nnz5jkVGhYtWsSaNWvYtGlTtT8X33//Pb169SLCcYzGVZaoMvfdd5/TWA0bNoyFCxcS5VJlKDIysoK2X0pKykXVV8pliV577TXnWI1KlkihuFrsXLMSc8cUdgb0JU8EE5NrJT2vlEeHO87fWS2w8UUIbgPxd1c5zusJr2O2mXm6b908jqx/f0Lxjh1EPPsM+ub189IKc8pY/fY+NBrBmIfj0BuqzjhVXB6kl8oS/fDDD8ydO5fVq1c79w2rYunSpRXCnEqWyI4yfIoGR9KG4+jb/8pK7mSAny+rt51hQLswru/kOPu251M4fwhGza7S29tydgtrTq3hvm730SaoTa3fu3jPHjLefpugm8cQPKHqEGq1Y+Sb+O6dfZQVWbhlejzBTeuu+6e4dLxVlugvf/kLBQUFjBw5kvj4eB5++GHgYlmi4uJiNm7cyB/+8IcK9ytZIhDu4rYNgT59+sjanotRNBzWffQeWbY9bO0cxTpxKxOzNazdk8Ka6UOIbRkEeanw/kCI7A13rwQ3YaKskiz+sPoPNDU2ZenYpei1tauabzpzhqQ7J6ENCSHqy+VoHZludaEgu5TVb+2jMKeUsY/2ILJz3YthNwSOHDlCTEzM1Z6GW7Zu3cq8efMqeHWXyrBhw5g3b16djjVcC8yaNYuAgICLPGVPf4bufl6EEAlSSrcfqPL4FA0Gk6mMgjO5FLc/x/eM40aNL2v3pDC5Xxu70bPZ4JtHwGaBm+e5NXoWm4Vn/vcMhaZC/jXkX7U2epacHJIfsv/l3frjj+pl9LJSC1k171eK88q49a/xjdboeTtKlujaRyW3KBoMK578J2LQTj7VTSNMoyFp5zlaBBuZMcax37DjPTj9X7jlbWjS3u0Yrye8zvb07bx03Uu1rslpycnh7JR7Maen0+azTzG0qX1otJxTezPYuDARg6+W257oRdM2gXUeQ3FlULJEtcdbZYmU4VM0CP679HNk53NsaTaQs7RlWLKFHdnFLH1wAIG+eji11Z7Q0mUc9LrH7RhfHvuSJYlLuCvmrlqXJrNkZXH2vvsxnTlD6w/ex6937bM/AaxWG7u/O03CD2doFhXEzQ/H4R/iU6cxFApF3VCGT3HNk3E+lfTjxzg7qJg14nYG5trYcfgCf7uho11sNuskfDkFwjvBbR+4DXF+d/I7/rnjnwyNHMqTfZ6s1fuWnTxJ8kMPY8nMpPUH7+N/3XV1mnfOuSJ+XJDIhTMFxAxqwdBJndDpVfamQnG5UYZPcU1jtVjY9Oon5I74lX9rnqVDoYWDuy9wY0wz/nZDR3syy3/+AEIDk5eC78V7b+tOrWPmtpn0a96P+dfPR6+pea+l6JdfSPnbYwgfH9ouWYwxLq72c7baOLAphV3fnUJr0DD6oW6079ms5hsVCoVHUIZPcU2z7ImXKRmxh7eMT2Is0JC5J4NOEYG8fmc8mqILsPhWKMqCKd9CWPRF9y9JXMKru1+ld0Rv3h7xNr4632rfT1osZL7/AZkffIBPh/a0/vBD9K1a1Xq+ab/l8N+lx8lOKyKqezjD/thZhTYViiuMyupUXLN88djzlA7dx3tB0zAV+KHZm0eLYCOL7u9HUEkqLLwZ8tPh7q+gVcW9N4vNwmu7X+PV3a9yY5sb+WjkR/jpqz8vZ05N5ey995H5/vsEjx9P1LJltTZ6OeeK+OGjg6yavxdzqZWbH4lj7LTuyuh5Md4qSzRr1ixatWrlrOHpqhLhOvfhw4cTExND165dnaXILpWGIkuElLJBPnr37i0VDZf/PPa8/PCr22Xcpu9l2y9/lp2eXyeHzN0sk7OLpEzdK+WrHaSc00bKM9svujejOEPe98N9stvCbvKVHa9Ii9VS7XvZLBaZuWCBPBLfUx7p2UvmfvNNreeZn1UiNy1KlO89vEl+9Netcufqk9JUWv37KaRMTEy82lOQUko5d+5c+eCDD0oppZw6dap85ZVX5JYtW+TYsWOdfU6fPi2bNWsm27dvL8vKyqSUUj766KNywYIFUkop33nnHTlmzBhZVFQkpZRy/fr1sl27drKkpMQ5xvXXXy93795dqzm9+OKL8rXXXqu2T1pamkxISJBSSpmfny87duwoDx8+XLtFO+Zz+vTpCm1ZWVkyOjpaZmVlyezsbBkdHS2zs7OllFLm5eU5+z3++ONyzpw5tX4vT+Du5wXYI6uwDyrUqbjm+OLJ58i6/gQfBD1KWZoeXWIe0c0CWHx/P5qd/ga+ewz8w+HeNdC0c4V7t6Vu44VtL5BvyueVwa9wS/tbqn2vkn37OPfP2ZQeOoT/9UNp8cILtfLyMlMK2bvxDCd2X0BoBN1HtKb36LYYA5W6Ql0598orlB3xrCyRT0wXmj9bcx1Vb5Qlqg0tWrSgRYsWAAQGBhITE0NqaiqxsbFKlgi1x6e4hsjLyWLdvPkcuzGTBfrHMBwpwpZcQP92TfhwUizB/50BCQug7WCY+BkERjjvLTQVMm/PPL7+7WvaB7fn/Rvfp3NY5yrfy3TmDBdef4OC9evRhofTcv48gm6+udqCwDabJDkxmwObkzmbmI3OR0vc8Eh63NCawLDq9w4V3km5LNHo0aPZsGFDjbJEY8aM4f7773e21VeWqKYi1e+++y6LFy+mT58+zJ8/n9DQqosdJCUlsXfvXvr37w/YZYk+/PBDOnbsyM6dO5k2bRqbN2+u+kNwUBtZonXr1hEbG8v8+b+rmRw4cIAdO3ZQVFREz549GTt2LGCv1ZmYmEjbtm0ZPXo0K1euZOLEiU5Zorlz53L77bc7ZYkSExOZMmWKMnyKxsPutWs4dnw9Pw6PYH3pgwTtz6Ys18LUoe14KjYX3aIRdm29wY/D8OdBa//RllKy9vRa3kh4g8ySTO7vdj/T4qfho3W/t2ZKTibrk0/J/fprhMFA+F/+QpP77kXj71/l3IpyyzjySzqJP6dRkF2KMcjAgNva0XVIK3z9VTWOS6U2ntnlxNtkiR555BFmzpyJEIKZM2fy5JNP8tlnn7ntW1hYyIQJE3jzzTcJCgpSskQOlOFTeD3LnpnJ+fhUlnQfT3pyE/x+y8DXoOPtOzoxKuMzWPgBBLeGP62C9iOc9x3MOMjc3XPZn7Gf2CaxvDHsDbo37e72PUqPHSfr3/8mf906hFZLyB0TaTptGrqmTd32N5dZSTqQyfHd5zlzKAtpk0R2CeW6CR2I7hGOVqfyxhoC3ihLVC4xBPDggw8ybtw4t+OYzWYmTJjAXXfd5SxUrWSJ7CjDp/Ba9m7eyKFf17B5eFM2Fv4Z/c589Pl5DOsUxhudDhK06REozoS+D8KNL4KPvczXwYyDfHjgQ35K+Ykmvk146bqXGN9hPBpR0RhJk4n8jRvJXbqM4j17EH5+hN17L2FTpqCPuPhcndViIzkxm+O7z3P6QCaWMiv+IT7E39ia2MEtCWmmVBQaErIKWaLKe3iuuMoS9evXD/hdlmjFihUYjUanLNFHH33kdoyaPL709HTn/t2qVavo1q2b27k/8MADxMTE8MQTTzjbXWWJ7rjjDqSUHDhwgB49etT4eYwaNYpnn32WnJwcADZs2MCcOXOQUnLy5Ek6dOhQpSzRM888Q1FREVu3buVf//oXx48fd8oStW3bluXLlzN16tQa5+AplOFTeB1F+fl88+rLHO5r5euYWyg+qkGXlkPTAB3vDD5HvzMvI348Am0HwU0roFUvpJTsTN/BwsML2Za6jWCfYP7a869M7jKZAENAhfHLTpwg79vV5K5ciTUrC31kJE2ffILQO+5AGxJSoW9JoYkzh7JIOpDJ2cRszKVWfPx1dO4XQce+EbTsEILQKIHYhog7WaKFCxfWSpaoZ8+ezufTp08nJyeHuLg4tFotzZs3vyRZoqeeeop9+/YhhCAqKsppQNPS0vjzn//MunXr2LZtG0uWLCEuLo74+HgAXnnlFW6++WY+//xzHnnkEf75z39iNpuZNGlSrQyfqywR4JQlstlsTJkyhfz8fKSU9OjRgw8++MB5X7ks0dmzZ52yRMePH3fKEh08eJChQ4cqWSJPoGSJrj3Kykr5+p8vcrS7lbV+gzh/OgRdajG+GivzOx9nTO5SNNknoElHu4fXZRxFlmK+O/kdS48u5VTeKcJ8w/hT7J+Y3GUy/vrf9+XMaWnkr1tH3pq1lB09ChoNAcOGETp5Ev6DBiE0dm9Q2iSZKYUkH8km6WAm507mISX4BRuIigsnukc4rWPCVCjzMqNkiRoG3ipLpDw+xVUnPyeH1W/N4UA3Az/2HEBGSjDa9BKiRDIvt0lgaOH3aE+dh4g4uGMh1s5j2XUhgTXbnufHMz9SbCmma5OuzB48m1FRo/DR+iClpPToUQq3bKFgy1ZKDxwAwNijBxHPPUfQmNHowsORUpJ7vpiUozmkHMsh9XgOZUX2fYTw1gH0vjmK6O7hNG0dqDw7BVBRlsjd4fG6omSJrjzK41NcNRJ3bON/P69iR8em/C+/F6ZkiTG/iJv0+3g0dA+dC35BSAkdb8La5372BzdlU/Jmfjj9AxdKLhCgD2Bk25FM7DSRuPA4bAUFFO/ZQ9HPP1OwZSuW9HQAfLt3J3DECILG3oy2RSsykgs4fyqfc6fySD+ZR1GuPastIMyHyC5hRHYOJbJzqKqqchXxZo9P4X14jccnhPgMGAdckFJ2c7S9BtwCmICTwH1SylzHa88ADwBW4K9SyvWO9t7AQsAIrAP+JhuqtW4EFOblsfLdf3GwnS//E51I1Y3Bd1chQ+UO7vDdyY3+CeitxWCLoPi66WxvFcuW7EP8tPcVcspy0Gl0DG45mKfaP8WQsL7Y9h+meNEGkna8TGliIthsCKMR/+uuI2DaNGSPgeQU6jl2Ko9zSy+QcfYkVosNsBu6lh2CadU5lMguoQSFG6s9p6dQKBoGl83jE0IMBQqBxS6G7yZgs5TSIoSYCyClfFoIEQssBfoBLYEfgU5SSqsQYhfwN2AHdsP3tpTy+5re/1I9vuyM8/y0/ltuu/vKZRo1VPJzclj57/nsa2FkD1EkZzejVWY6w217GaHdy2DtEXxkKSXGUA50GMLO0Ah2laZzODMRi7QQaAhkaMsh3KiJpds5A/LwMUr2H6Ds+HGwWkGvx6dHD6zdh1Dcqit5mjCy0krITCnEVGIPW2p1Gpq2CaR5uyCatwumebtg5dF5McrjU9QFr/H4pJQ/CSGiKrVtcHm6A5jouB4PLJNSlgGnhRAngH5CiCQgSEq5HUAIsRi4DajR8F0qK55+C42M543903n8tXdqvkFRgT0b1/LjsZ3sDYzgmLk5Ptau9D96kIfF1/TXHqGDNo10Hy0HQ1rxTrN+HNQJDhWlYirchyFfw1BLO54pvo7OWQaCk3MpO7QFW8FqsoSW0iZRmDv3ofT2iRQHtKTA7Ev2+RJspyScKkNnOE+TVgF06htBeOsAwiMDCY8MQKtXCSkKheLqJrfcDyx3XLfCbgjLSXG0mR3XldvdIoSYCkwFaNOmzSVNrqRpAX4XNBjyx/PpPW9QFH6Ke2e+RFA1pYEaMzs2r2XD4V85aGzCOXMgzXOz6Fqcw53nE+itOYrU53IiWM8xX3/eCm7KIW0geWXFRORK2hw4S9+ScP6U04KI9FI0KRco02ZQYoSMgAjSWnSl5LoxFGpDKSzR4gxSZEKgzUBoC19ad7UnoIS3DiC4mR8alYiiUCiq4KoYPiHEc4AF+Ly8yU03WU27W6SUHwMfgz3UeSlzfGzuO6z7cjHJPyRg0Q9EW9yDZU9uBnkAa3gh9zz3PP4hjdMIHkjYzspf/scprS9mm4WQ4nzaFJ8n1naSQYazSH0eyb5aTgTqWaHxZWGJH8F5vkSch5bZcEO+lTsLg9CVNKVMH0KpbxNKjOFkBLckuU0zStr6I13+6zU6QXCokaYt/OnU3I/Q5v6EtfAnJMIPvY9SLFdcHpKTkxk6dCgJCQmEhYWRk5NDr169mDVrFn/9618ZNGgQ69atIykpiejoaN5++22mT58O2GWJ+vTpw7333ouUktmzZ7No0SKEELRq1Yp3332Xrl27Avaszt27d7N169ZaHWdYsWIFs2bN4siRI+zatcsjRyBOnz7NpEmTyM7OplevXixZsqRCXdLdu3czYMAAli9fzsSJE6sZ6drgihs+IcQU7EkvN7gkqaQArV26RQJpjvZIN+1XhJv/7x74P9j47TKObtiA1tKJMt9ByAIdi/++E4PpFFZtGjKkjBvvnkx0fDwaTcMIp1msVn746Ue2HzpEibUQjTTha87Fz3KBQHGOlrpsWsgCcs068sq0ZJbqyCvU0bQgmNCiSIJKAhhsCWawCKHMx/URSlrLQNIqJZH4+usIbuZHk3AjwU2NBIX7EhRuJCjciH+Ij/LgFFec1q1b88gjjzBjxgw+/vhjZsyYwdSpU2nbti1DhgypcAatWbNmvPXWWzz00EMXFbJ+7733+OWXX9i/fz9+fn5s2LCBW2+9lcOHD+Pr68uWLVsuKv1VHd26dWPlypU89NBDdV7TwoULSUpKYtasWRXan376aR5//HEmTZrEww8/zKeffsojjzwCgNVq5emnn2bUqFF1fj9v5YoaPiHEaOBp4HopZbHLS6uBL4QQr2NPbukI7HIktxQIIQYAO4F7gCu+4TZy/CRGjrfX6Pv3my9TeCqdwLwIJG0x66+HYi0/fJyLxvI9enMGkIFNl4swWmga1Zz23WJp0z2ewOZNvcIwlpkt/Jq4n30JP5GZn0yZNR8bhejLCjCUFeJTWoLBZEVn1tHKbMRq9keY/TCY/TGawzFY26AlEJsmgABDIM30gZgMAVj0AeAPJf5Q4vJ+Br3EP1BLSBM/ApoFEhDqS0CID/6hPgSE+BAY5ovBqI6UKtzzvy+Pk5nsWWHT8NYBDPm/TjX280ZZoqqSfqxWKzNmzGDr1q2UlZXx6KOP1so4SinZvHmzs7j2lClTmDVrltPwvfPOO0yYMIHdu3c770lKSmL06NH079+fvXv30qlTJxYvXoyfnx9RUVHceeedbNmyBYAvvviCDh06cO+992I0Gjl69ChnzpxhwYIFLFq0iO3bt9O/f3+ncO+V4HIeZ1gKDAPChRApwIvAM4APsNGRNr5DSvmwlPKwEOJLIBF7CPRRKaXVMdQj/H6c4XuuQGJLdTz42EzndfqZJL5Y9hHWzBwCcn3Rm0MQsilWbRRmXShYNKSegNQTwDeH0VhNaK1FaGwlCFkMsgQpSpCiDIQFhBWpsSK0NoROgE6CxgZIe9C33OmRNqw2K1ZpQdos9gMgEoQEbAKNTeN4LhDS/lzY9AhpcD6QBvww0Ea0B+EDwoBV64NF64tF54fUaO0xZQEaA2Cwb7iaHVPQCxO+PhKjUUtwoB6/ECP+zYLxCw/EL8iAMdCAX5AB/1Af9AYVjlRcm3irLJE7Pv30U4KDg9m9ezdlZWUMGjSIm266iejo6GrXmJWVRUhICDqd3Ry4yg2lpqayatUqNm/eXMHwARw7doxPP/2UQYMGcf/99/P+++87K7QEBQWxa9cuFi9ezGOPPeb0jnNycti8eTOrV6/mlltuYdu2bXzyySf07duXffv2OcurXW4uZ1bnZDfNn1bTfzYw2037HuDiKqxeQIu2UTz59JwKbblZmaz++j+k5+xEU1SCT7EVnxINhjJfdBZ/NNII0ggYkSIUm7YVVo0RqTEgNS4Gwup41AEJoAFrVU6ltKKxlSGkGSFNIE0ILAhhQastwz/EgF8g+AcJ/IONGEP98Q0NwDcsEN9AH3z8dPgY9RiMWjTaq++5KhoHtfHMLifeJktUFRs2bODAgQN89dVXAOTl5fHbb78RFBTEDTfcAEB2djYmk4lvvvkGgCVLltC8efOLxiqf22OPPcbcuXPRai/+47V169YMGjQIgLvvvpu3337bafgmT57s/Pfxxx933nPLLbcghCAuLo6IiAji4uIA6Nq1K0lJSde+4WushDQJ556pj1XbJ+dCBsf3/MKZM6dILz5LsbRhFRbMNhtSmsFqRWOxojHbEDa7qyckaIByN0wjQWMTCKFFaAQCLVqNFr1OT5DRj4hmLWgTG0urjp0w+BrQGbSqvqRCUUe8UZaoKqSUvPPOO2734spliNzt8Ukpyc3NxWKxoNPpSElJoWXLlgDs2bPHuebMzEzWrVuHTqcjPj6+Slmh6q5dJYbKr8ufe0pyqDYow3cVCG3WlP43j6f/1Z6IQqGoEm+VJaqKUaNG8cEHHzBixAj0ej3Hjx+nVatW+Fcjogx2wzR8+HC++uorJk2axKJFixg/fjxgz/Ys595772XcuHHcdtttJCUlcfbsWbZv387AgQNZunQpgwcPdvZdvnw5M2bMYPny5QwcOLBe67mcKMOnUCgUbvBWWaJVq1Yxffp0MjIyGDt2LPHx8axfv54///nPJCUl0auXXaaradOmzpBmTcydO5dJkybx/PPP07Nnz1ol3cTExLBo0SIeeughOnbs6EyGAbuqe//+/bHZbCxdurRe67ycqCLVCoXC6/DmkmVKlsie1Tlu3DgOHTp00WtRUVHs2bOH8PDwKzafupYsU5s+CoVCUQdcZYk8gZIluvKoUKdCoVDUgeuuu46kpCSPjVd+3u1aIioqyq23B3j0s7lcKI9PoVB4JQ11G0bhWerzc6IMn0Kh8Dp8fX3JyspSxk9RLVJKsrKy8PX1rdN9KtSpUCi8jsjISFJSUsjIyLjaU1F4Ob6+vkRGRtbc0QVl+BQKhdeh1+trLLWlUNQXFepUKBQKRaNCGT6FQqFQNCqU4VMoFApFo6LBVm4RQmQAZy5xmHAg0wPTudZQ625cqHU3LhrLuttKKZu6e6HBGj5PIITYU1XJm4aMWnfjQq27cdFY1+2KCnUqFAqFolGhDJ9CoVAoGhXK8FXPx1d7AlcJte7GhVp346KxrtuJ2uNTKBQKRaNCeXwKhUKhaFQow6dQKBSKRoUyfFUghBgthDgmhDghhJhxtedzKQghWgshtgghjgghDgsh/uZoDxNCbBRC/Ob4N9Tlnmccaz8mhBjl0t5bCHHQ8drbQghxNdZUF4QQWiHEXiHEGsfzBr9uIUSIEOIrIcRRx//7wEay7scdP+OHhBBLhRC+DXHdQojPhBAXhBCHXNo8tk4hhI8QYrmjfacQIupKru+yI6VUj0oPQAucBNoBBmA/EHu153UJ62kB9HJcBwLHgVjgVWCGo30GMNdxHetYsw8Q7fgstI7XdgEDAQF8D4y52uurxfqfAL4A1jieN/h1A4uAPzuuDUBIQ1830Ao4DRgdz78E7m2I6waGAr2AQy5tHlsnMA340HE9CVh+tdfsyYfy+NzTDzghpTwlpTQBy4DxV3lO9UZKmS6l/NVxXQAcwf5LYjz2X5A4/r3NcT0eWCalLJNSngZOAP2EEC2AICnldmn/Rix2uccrEUJEAmOBT1yaG/S6hRBB2H8xfgogpTRJKXNp4Ot2oAOMQggd4Aek0QDXLaX8Cciu1OzJdbqO9RVwg7d5vZeCMnzuaQUkuzxPcbRd8zhCFj2BnUCElDId7MYRaOboVtX6WzmuK7d7M28CTwE2l7aGvu52QAawwBHi/UQI4U8DX7eUMhWYB5wF0oE8KeUGGvi6XfDkOp33SCktQB7Q5LLN/AqjDJ973P1lc82f+xBCBABfA49JKfOr6+qmTVbT7pUIIcYBF6SUCbW9xU3bNbdu7F5PL+ADKWVPoAh76KsqGsS6HXta47GH81oC/kKIu6u7xU3bNbfuWlCfdTa0z6ACyvC5JwVo7fI8EnvI5JpFCKHHbvQ+l1KudDSfd4Q7cPx7wdFe1fpTHNeV272VQcCtQogk7OHqEUKI/9Dw150CpEgpdzqef4XdEDb0dd8InJZSZkgpzcBK4Doa/rrL8eQ6nfc4wsbBXBxavWZRhs89u4GOQohoIYQB++bu6qs8p3rjiM1/ChyRUr7u8tJqYIrjegrwrUv7JEdmVzTQEdjlCJ8UCCEGOMa8x+Uer0NK+YyUMlJKGYX9/3CzlPJuGv66zwHJQojOjqYbgEQa+LqxhzgHCCH8HPO9Aft+dkNfdzmeXKfrWBOxf3cajMd31bNrvPUB3Iw9+/Ek8NzVns8lrmUw9jDFAWCf43Ez9pj9JuA3x79hLvc851j7MVwy2oA+wCHHa+/iqP7j7Q9gGL9ndTb4dQPxwB7H//k3QGgjWfc/gKOOOS/BnsnY4NYNLMW+j2nG7p094Ml1Ar7ACuyJMLuAdld7zZ58qJJlCoVCoWhUqFCnQqFQKBoVyvApFAqFolGhDJ9CoVAoGhXK8CkUCoWiUaEMn0KhUCgaFcrwKRRegLCrKUxzXLcUQnzlwbEfE0LcU4/7DEKInxwHmBWKBoM6zqBQeAGOGqprpJTdPDyuDvgVuzqHpR73v4i9YPvnnpyXQnE1UR6fQuEd/AtoL4TYJ4RYUa6zJoS4VwjxjRDiOyHEaSHEX8e9wqoAAAH5SURBVIQQTziKT+8QQoQ5+rUXQvwghEgQQvxPCNHFMe4I4NdyoyeE2CqE6OO4DneUc0MI0VUIscvx/geEEB0d938D3HXlPgaF4vKjDJ9C4R3MAE5KKeOBv1d6rRvwR+xyWbOBYmkvPr0de5kpgI+B6VLK3sD/A953tA8CalOk+2HgLcf79+H3qv2HgL71WpFC4aWo2L1C4f1skXYdxQIhRB7wnaP9INDdobpxHbDCRTLNx/FvC+z1KmtiO/CcQ79wpZTyNwAppVUIYRJCBDrmoFBc8yiPT6Hwfspcrm0uz23Y/3jVALlSyniXR4yjTwn2uovlWPj9e+9sl1J+Adzq6L9eCDHC5R4foNRTi1EorjbK8CkU3kEBEFifG6VdW/G0EOIOsKtxCCF6OF4+AnRw6Z4E9HZcTyxvFEK0A05JKd/GXpm/u6O9CVAu86NQNAiU4VMovAApZRawzZHU8lo9hrgLeEAIsR84jF2QFeB7YKhLv3nAI0KIX4Bwl/Y7gUNCiH1AF2Cxo304sK4e81EovBZ1nEGhaOAIIVYBT5Xv29Xx3pXAM1LKY56fmUJxdVAen0LR8JmBPcmlTjhEmL9RRk/R0FAen0KhUCgaFcrjUygUCkWjQhk+hUKhUDQqlOFTKBQKRaNCGT6FQqFQNCqU4VMoFApFo+L/A8O41dZkhZFsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "for states,x in zip(states_x_list,xs):\n",
    "    plt.plot(states.t*1e6 ,states.T,label=f'X[NO]={x*1e6:.2g}ppm')\n",
    "\n",
    "plt.xlabel('time(us)')\n",
    "plt.ylabel('temperature(K)')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "plt.plot(xs*1e6,idt_x_list,label=f'ignition delay time')\n",
    "\n",
    "plt.xlabel('molar fraction of NO(ppm)')\n",
    "plt.ylabel('ignition delay time(s)')\n",
    "plt.xscale('log')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## influence of NO2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=0\n",
    "z=0\n",
    "T,P = 1200, ct.one_atm\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X[NO]=0,\t X[NO2]=1e-06,\t X[N2O]=0,\t idt=0.00384s,\t time cost=40s\n",
      "X[NO]=0,\t X[NO2]=1.93e-06,\t X[N2O]=0,\t idt=0.00384s,\t time cost=46s\n",
      "X[NO]=0,\t X[NO2]=3.73e-06,\t X[N2O]=0,\t idt=0.00384s,\t time cost=44s\n",
      "X[NO]=0,\t X[NO2]=7.2e-06,\t X[N2O]=0,\t idt=0.00384s,\t time cost=45s\n",
      "X[NO]=0,\t X[NO2]=1.39e-05,\t X[N2O]=0,\t idt=0.00384s,\t time cost=43s\n",
      "X[NO]=0,\t X[NO2]=2.68e-05,\t X[N2O]=0,\t idt=0.00384s,\t time cost=41s\n",
      "X[NO]=0,\t X[NO2]=5.18e-05,\t X[N2O]=0,\t idt=0.00384s,\t time cost=40s\n",
      "X[NO]=0,\t X[NO2]=0.0001,\t X[N2O]=0,\t idt=0.00384s,\t time cost=47s\n",
      "X[NO]=0,\t X[NO2]=0.000193,\t X[N2O]=0,\t idt=0.00384s,\t time cost=49s\n",
      "X[NO]=0,\t X[NO2]=0.000373,\t X[N2O]=0,\t idt=0.00385s,\t time cost=49s\n",
      "X[NO]=0,\t X[NO2]=0.00072,\t X[N2O]=0,\t idt=0.00387s,\t time cost=44s\n",
      "X[NO]=0,\t X[NO2]=0.00139,\t X[N2O]=0,\t idt=0.00393s,\t time cost=44s\n",
      "X[NO]=0,\t X[NO2]=0.00268,\t X[N2O]=0,\t idt=0.00404s,\t time cost=47s\n",
      "X[NO]=0,\t X[NO2]=0.00518,\t X[N2O]=0,\t idt=0.00415s,\t time cost=47s\n",
      "X[NO]=0,\t X[NO2]=0.01,\t X[N2O]=0,\t idt=0.00415s,\t time cost=47s\n"
     ]
    }
   ],
   "source": [
    "states_y_list = []\n",
    "idt_y_list = []\n",
    "ys = np.logspace(-6,-2,15)\n",
    "for y in ys:\n",
    "    t0 = time()\n",
    "    idt,states = get_idt(T,P,phi,X_fuel,x=x,y=y,z=z)\n",
    "    states_y_list.append(states)\n",
    "    idt_y_list.append(idt)\n",
    "    print(f'X[NO]={x:.3g},\\t X[NO2]={y:.3g},\\t X[N2O]={z:.3g},\\t idt={idt:.3g}s,\\t time cost={time()-t0:.2g}s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "for states,y in zip(states_y_list,ys):\n",
    "    plt.plot(states.t*1e6 ,states.T,label=f'X[NO2]={y*1e6:.2g}ppm')\n",
    "\n",
    "plt.xlabel('time(us)')\n",
    "plt.ylabel('temperature(K)')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "plt.plot(ys*1e6,idt_y_list,label=f'ignition delay time')\n",
    "\n",
    "plt.xlabel('molar fraction of NO2(ppm)')\n",
    "plt.ylabel('ignition delay time(s)')\n",
    "plt.xscale('log')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## influence of N2O"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=0\n",
    "y=0\n",
    "T,P = 1200, ct.one_atm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=1e-06,\t idt=0.00384s,\t time cost=46s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=1.93e-06,\t idt=0.00384s,\t time cost=42s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=3.73e-06,\t idt=0.00384s,\t time cost=44s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=7.2e-06,\t idt=0.00384s,\t time cost=43s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=1.39e-05,\t idt=0.00384s,\t time cost=48s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=2.68e-05,\t idt=0.00384s,\t time cost=42s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=5.18e-05,\t idt=0.00384s,\t time cost=44s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.0001,\t idt=0.00384s,\t time cost=42s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.000193,\t idt=0.00384s,\t time cost=48s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.000373,\t idt=0.00384s,\t time cost=47s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.00072,\t idt=0.00384s,\t time cost=43s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.00139,\t idt=0.00385s,\t time cost=46s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.00268,\t idt=0.00385s,\t time cost=55s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.00518,\t idt=0.00387s,\t time cost=46s\n",
      "X[NO]=0,\t X[NO2]=0,\t X[N2O]=0.01,\t idt=0.0039s,\t time cost=53s\n"
     ]
    }
   ],
   "source": [
    "\n",
    "states_z_list = []\n",
    "idt_z_list = []\n",
    "zs = np.logspace(-6,-2,15)\n",
    "for z in zs:\n",
    "    t0 = time()\n",
    "    idt,states = get_idt(T,P,phi,X_fuel,x=x,y=y,z=z)\n",
    "    states_z_list.append(states)\n",
    "    idt_z_list.append(idt)\n",
    "    print(f'X[NO]={x:.3g},\\t X[NO2]={y:.3g},\\t X[N2O]={z:.3g},\\t idt={idt:.3g}s,\\t time cost={time()-t0:.2g}s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "for states,z in zip(states_z_list,zs):\n",
    "    plt.plot(states.t*1e6 ,states.T,label=f'X[N2O]={z*1e6:.2g}ppm')\n",
    "\n",
    "plt.xlabel('time(us)')\n",
    "plt.ylabel('temperature(K)')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "plt.plot(zs*1e6,idt_z_list,label=f'ignition delay time')\n",
    "\n",
    "plt.xlabel('molar fraction of N2O(ppm)')\n",
    "plt.ylabel('ignition delay time(s)')\n",
    "plt.xscale('log')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "plt.plot(xs*1e6,idt_x_list,label=f'NO')\n",
    "plt.plot(ys*1e6,idt_y_list,label=f'NO2')\n",
    "plt.plot(zs*1e6,idt_z_list,label=f'N2O')\n",
    "\n",
    "plt.xlabel('molar fraction of NOx(ppm)')\n",
    "plt.ylabel('ignition delay time(s)')\n",
    "plt.xscale('log')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Equilibrium NOx molar fraction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ts = np.linspace(300,3000)\n",
    "\n",
    "X_NOs= []\n",
    "X_NO2s= []\n",
    "X_N2Os= []\n",
    "for T in Ts:\n",
    "    gas.TPX = T, ct.one_atm, 'N2:0.79, O2:0.21'\n",
    "    gas.equilibrate('HP')\n",
    "    X_NOs.append(gas.X[gas.species_index('NO')])\n",
    "    X_NO2s.append(gas.X[gas.species_index('NO2')])\n",
    "    X_N2Os.append(gas.X[gas.species_index('N2O')])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 453.543x340.157 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=np.array([16,12])*cm2inch)\n",
    "\n",
    "\n",
    "plt.plot(Ts ,X_NOs,label=f'X[NO]')\n",
    "plt.plot(Ts ,X_NO2s,label=f'X[NO2]')\n",
    "plt.plot(Ts ,X_N2Os,label=f'X[N2O]')\n",
    "\n",
    "plt.xlabel('temperature(K)')\n",
    "plt.ylabel('molar fraction in equilibrium')\n",
    "plt.yscale('log')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
